964560000 has 160 divisors (see below), whose sum is σ = 3202412400. Its totient is φ = 257152000.

The previous prime is 964559983. The next prime is 964560019. The reversal of 964560000 is 65469.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 964560000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 237991 + ... + 242009.

Almost surely, 2^964560000 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 964560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601206200).

964560000 is an abundant number, since it is smaller than the sum of its proper divisors (2237852400).

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

964560000 is an equidigital number, since it uses as much as digits as its factorization.

964560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 964560000 is about 31057.3662759739. The cubic root of 964560000 is about 988.0442974888.

The spelling of 964560000 in words is "nine hundred sixty-four million, five hundred sixty thousand".