96972800 has 78 divisors (see below), whose sum is σ = 240717108. Its totient is φ = 38748160.

The previous prime is 96972793. The next prime is 96972817. The reversal of 96972800 is 827969.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101927 + ... + 102873.

Almost surely, 2^96972800 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 96972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120358554).

96972800 is an abundant number, since it is smaller than the sum of its proper divisors (143744308).

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

96972800 is an equidigital number, since it uses as much as digits as its factorization.

96972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 96972800 is about 9847.4768341946. The cubic root of 96972800 is about 459.4271381734.

The spelling of 96972800 in words is "ninety-six million, nine hundred seventy-two thousand, eight hundred".