64039680 has 288 divisors, whose sum is σ = 242827200. Its totient is φ = 15925248.

The previous prime is 64039669. The next prime is 64039681. The reversal of 64039680 is 8693046.

64039680 is a `hidden beast` number, since 640 + 3 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×64039680² = 8202161229004800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (64039681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587466 + ... + 587574.

It is an arithmetic number, because the mean of its divisors is an integer number (843150).

Almost surely, 2^64039680 is an apocalyptic number.

64039680 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 64039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121413600).

64039680 is an abundant number, since it is smaller than the sum of its proper divisors (178787520).

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

64039680 is a wasteful number, since it uses less digits than its factorization.

64039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64039680 is about 8002.4796157191. The cubic root of 64039680 is about 400.0826495881.

The spelling of 64039680 in words is "sixty-four million, thirty-nine thousand, six hundred eighty".