960564000 has 384 divisors, whose sum is σ = 3622993920. Its totient is φ = 220032000.

The previous prime is 960563987. The next prime is 960564023. The reversal of 960564000 is 465069.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2507809 + ... + 2508191.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^960564000 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 960564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811496960).

960564000 is an abundant number, since it is smaller than the sum of its proper divisors (2662429920).

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

960564000 is a wasteful number, since it uses less digits than its factorization.

960564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

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

The square root of 960564000 is about 30992.9669441311. The cubic root of 960564000 is about 986.6779785246.

The spelling of 960564000 in words is "nine hundred sixty million, five hundred sixty-four thousand".