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64680960 = 210354211
BaseRepresentation
bin1111011010111…
…1010000000000
311111201010121010
43312233100000
5113024242320
610230200520
71413531141
oct366572000
9144633533
1064680960
1133568843
12197b3140
1310528776
148839ac8
155a29ae0
hex3daf400

64680960 has 88 divisors (see below), whose sum is σ = 206927136. Its totient is φ = 17244160.

The previous prime is 64680953. The next prime is 64680983. The reversal of 64680960 is 6908646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13255 + ... + 17465.

Almost surely, 264680960 is an apocalyptic number.

64680960 is a gapful number since it is divisible by the number (60) 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 64680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103463568).

64680960 is an abundant number, since it is smaller than the sum of its proper divisors (142246176).

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

64680960 is a wasteful number, since it uses less digits than its factorization.

64680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 64680960 is about 8042.4473886995. The cubic root of 64680960 is about 401.4136646615.

The spelling of 64680960 in words is "sixty-four million, six hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 4211 5120 7680 8422 12633 15360 16844 21055 25266 33688 42110 50532 63165 67376 84220 101064 126330 134752 168440 202128 252660 269504 336880 404256 505320 539008 673760 808512 1010640 1078016 1347520 1617024 2021280 2156032 2695040 3234048 4042560 4312064 5390080 6468096 8085120 10780160 12936192 16170240 21560320 32340480 64680960