964204560 has 360 divisors, whose sum is σ = 3690138816. Its totient is φ = 232346880.

The previous prime is 964204547. The next prime is 964204583. The reversal of 964204560 is 65402469.

964204560 is a `hidden beast` number, since 9 + 642 + 0 + 4 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5773597 + ... + 5773763.

Almost surely, 2^964204560 is an apocalyptic number.

964204560 is a gapful number since it is divisible by the number (90) 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 964204560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845069408).

964204560 is an abundant number, since it is smaller than the sum of its proper divisors (2725934256).

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

964204560 is a wasteful number, since it uses less digits than its factorization.

964204560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 964204560 is about 31051.6434347685. The cubic root of 964204560 is about 987.9229179265.

The spelling of 964204560 in words is "nine hundred sixty-four million, two hundred four thousand, five hundred sixty".