97652800 has 84 divisors (see below), whose sum is σ = 274645120. Its totient is φ = 33477120.

The previous prime is 97652783. The next prime is 97652809. The reversal of 97652800 is 825679.

It is a self number, because there is not a number n which added to its sum of digits gives 97652800.

It is not an unprimeable number, because it can be changed into a prime (97652809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6841 + ... + 15559.

Almost surely, 2^97652800 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 97652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137322560).

97652800 is an abundant number, since it is smaller than the sum of its proper divisors (176992320).

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

97652800 is a wasteful number, since it uses less digits than its factorization.

97652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8748 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 97652800 is about 9881.9431287576. The cubic root of 97652800 is about 460.4985143718.

The spelling of 97652800 in words is "ninety-seven million, six hundred fifty-two thousand, eight hundred".