64057600 has 54 divisors (see below), whose sum is σ = 158568410. Its totient is φ = 25620480.

The previous prime is 64057597. The next prime is 64057601. The reversal of 64057600 is 675046.

It can be written as a sum of positive squares in 3 ways, for example, as 21233664 + 42823936 = 4608^2 + 6544^2 .

It is a super-2 number, since 2×64057600² = 8206752235520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64057601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1396 + ... + 11404.

Almost surely, 2^64057600 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 64057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79284205).

64057600 is an abundant number, since it is smaller than the sum of its proper divisors (94510810).

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

64057600 is a wasteful number, since it uses less digits than its factorization.

64057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10035 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 64057600 is about 8003.5991903643. The cubic root of 64057600 is about 400.1199640180.

The spelling of 64057600 in words is "sixty-four million, fifty-seven thousand, six hundred".