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640823616 = 26333591033
BaseRepresentation
bin100110001100100…
…011000101000000
31122122211012202000
4212030203011000
52303022323431
6143331024000
721610624266
oct4614430500
91578735660
10640823616
112a98012a4
1215a73b000
13a29c0294
1461172436
153b3d39e6
hex26323140

640823616 has 112 divisors (see below), whose sum is σ = 1890979200. Its totient is φ = 212806656.

The previous prime is 640823611. The next prime is 640823663. The reversal of 640823616 is 616328046.

640823616 is a `hidden beast` number, since 6 + 408 + 236 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640823611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619836 + ... + 620868.

Almost surely, 2640823616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640823616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945489600).

640823616 is an abundant number, since it is smaller than the sum of its proper divisors (1250155584).

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

640823616 is a wasteful number, since it uses less digits than its factorization.

640823616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 640823616 is about 25314.4941881129. The cubic root of 640823616 is about 862.1433898160.

The spelling of 640823616 in words is "six hundred forty million, eight hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 359 432 576 718 864 1033 1077 1436 1728 2066 2154 2872 3099 3231 4132 4308 5744 6198 6462 8264 8616 9297 9693 11488 12396 12924 16528 17232 18594 19386 22976 24792 25848 27891 33056 34464 37188 38772 49584 51696 55782 66112 68928 74376 77544 99168 103392 111564 148752 155088 198336 206784 223128 297504 310176 370847 446256 595008 620352 741694 892512 1112541 1483388 1785024 2225082 2966776 3337623 4450164 5933552 6675246 8900328 10012869 11867104 13350492 17800656 20025738 23734208 26700984 35601312 40051476 53401968 71202624 80102952 106803936 160205904 213607872 320411808 640823616