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96599664 = 24327472039
BaseRepresentation
bin1011100000111…
…11111001110000
320201202202211100
411300133321300
5144212142124
613330244400
72252040450
oct560377160
9221682740
1096599664
114a589837
1228426700
1317022b85
14cb87d60
1587321c9
hex5c1fe70

96599664 has 120 divisors (see below), whose sum is σ = 315694080. Its totient is φ = 26999424.

The previous prime is 96599611. The next prime is 96599687. The reversal of 96599664 is 46699569.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 96599664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46357 + ... + 48395.

It is an arithmetic number, because the mean of its divisors is an integer number (2630784).

Almost surely, 296599664 is an apocalyptic number.

96599664 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96599664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

96599664 is an abundant number, since it is smaller than the sum of its proper divisors (219094416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96599664 is a wasteful number, since it uses less digits than its factorization.

96599664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2098 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 96599664 is about 9828.5128071341. The cubic root of 96599664 is about 458.8371130913.

The spelling of 96599664 in words is "ninety-six million, five hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2039 2256 2632 2961 3384 3948 4078 5264 5922 6117 6768 7896 8156 11844 12234 14273 15792 16312 18351 23688 24468 28546 32624 36702 42819 47376 48936 57092 73404 85638 95833 97872 114184 128457 146808 171276 191666 228368 256914 287499 293616 342552 383332 513828 574998 670831 685104 766664 862497 1027656 1149996 1341662 1533328 1724994 2012493 2055312 2299992 2683324 3449988 4024986 4599984 5366648 6037479 6899976 8049972 10733296 12074958 13799952 16099944 24149916 32199888 48299832 96599664