966556800 has 576 divisors, whose sum is σ = 3936310560. Its totient is φ = 232243200.

The previous prime is 966556793. The next prime is 966556817. The reversal of 966556800 is 8655669.

966556800 is a `hidden beast` number, since 96 + 6 + 556 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8553544 + ... + 8553656.

Almost surely, 2^966556800 is an apocalyptic number.

966556800 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 966556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968155280).

966556800 is an abundant number, since it is smaller than the sum of its proper divisors (2969753760).

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

966556800 is a wasteful number, since it uses less digits than its factorization.

966556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 966556800 is about 31089.4966186331. The cubic root of 966556800 is about 988.7256330158.

The spelling of 966556800 in words is "nine hundred sixty-six million, five hundred fifty-six thousand, eight hundred".