97536800 has 36 divisors (see below), whose sum is σ = 238113666. Its totient is φ = 39014400.

The previous prime is 97536793. The next prime is 97536809. The reversal of 97536800 is 863579.

It can be written as a sum of positive squares in 3 ways, for example, as 81504784 + 16032016 = 9028^2 + 4004^2 .

It is not an unprimeable number, because it can be changed into a prime (97536809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60161 + ... + 61760.

Almost surely, 2^97536800 is an apocalyptic number.

It is an amenable number.

97536800 is an abundant number, since it is smaller than the sum of its proper divisors (140576866).

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

97536800 is a wasteful number, since it uses less digits than its factorization.

97536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121941 (or 121928 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 97536800 is about 9876.0720937020. The cubic root of 97536800 is about 460.3161028315.

The spelling of 97536800 in words is "ninety-seven million, five hundred thirty-six thousand, eight hundred".