96862800 has 120 divisors (see below), whose sum is σ = 316345824. Its totient is φ = 25326080.

The previous prime is 96862783. The next prime is 96862811. The reversal of 96862800 is 826869.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62839 + ... + 64361.

Almost surely, 2^96862800 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 96862800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158172912).

96862800 is an abundant number, since it is smaller than the sum of its proper divisors (219483024).

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

96862800 is a wasteful number, since it uses less digits than its factorization.

96862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 96862800 is about 9841.8900623813. The cubic root of 96862800 is about 459.2533571202.

The spelling of 96862800 in words is "ninety-six million, eight hundred sixty-two thousand, eight hundred".