960576000 has 160 divisors (see below), whose sum is σ = 3194313408. Its totient is φ = 256102400.

The previous prime is 960575999. The next prime is 960576017. The reversal of 960576000 is 675069.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189499 + ... + 194501.

Almost surely, 2^960576000 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 960576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597156704).

960576000 is an abundant number, since it is smaller than the sum of its proper divisors (2233737408).

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

960576000 is an equidigital number, since it uses as much as digits as its factorization.

960576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 960576000 is about 30993.1605358344. The cubic root of 960576000 is about 986.6820872519.

The spelling of 960576000 in words is "nine hundred sixty million, five hundred seventy-six thousand".