97575600 has 240 divisors, whose sum is σ = 335565824. Its totient is φ = 24192000.

The previous prime is 97575553. The next prime is 97575617. The reversal of 97575600 is 657579.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599570 + ... + 1599630.

Almost surely, 2^97575600 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 97575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167782912).

97575600 is an abundant number, since it is smaller than the sum of its proper divisors (237990224).

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

97575600 is a wasteful number, since it uses less digits than its factorization.

97575600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 97575600 is about 9878.0362420878. The cubic root of 97575600 is about 460.3771324362.

The spelling of 97575600 in words is "ninety-seven million, five hundred seventy-five thousand, six hundred".