64465600 has 84 divisors (see below), whose sum is σ = 162487864. Its totient is φ = 25159680.

The previous prime is 64465589. The next prime is 64465603. The reversal of 64465600 is 656446.

It is not an unprimeable number, because it can be changed into a prime (64465603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68332 + ... + 69268.

Almost surely, 2^64465600 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 64465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81243932).

64465600 is an abundant number, since it is smaller than the sum of its proper divisors (98022264).

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

64465600 is a wasteful number, since it uses less digits than its factorization.

64465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 64465600 is about 8029.0472660210. The cubic root of 64465600 is about 400.9676572111.

The spelling of 64465600 in words is "sixty-four million, four hundred sixty-five thousand, six hundred".