64963600 has 135 divisors (see below), whose sum is σ = 174631959. Its totient is φ = 23212800.

The previous prime is 64963589. The next prime is 64963609. The reversal of 64963600 is 636946.

The square root of 64963600 is 8060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16744464 + 48219136 = 4092^2 + 6944^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (64963609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2095585 + ... + 2095615.

Almost surely, 2^64963600 is an apocalyptic number.

64963600 is the 8060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64963600

64963600 is an abundant number, since it is smaller than the sum of its proper divisors (109668359).

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

64963600 is a wasteful number, since it uses less digits than its factorization.

64963600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The cubic root of 64963600 is about 401.9975082971.

The spelling of 64963600 in words is "sixty-four million, nine hundred sixty-three thousand, six hundred".