97576000 has 56 divisors (see below), whose sum is σ = 241666776. Its totient is φ = 39027200.

The previous prime is 97575983. The next prime is 97576007. The reversal of 97576000 is 67579.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 96510976 = 1032^2 + 9824^2 .

It is not an unprimeable number, because it can be changed into a prime (97576007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1902 + ... + 14098.

Almost surely, 2^97576000 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 97576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120833388).

97576000 is an abundant number, since it is smaller than the sum of its proper divisors (144090776).

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

97576000 is a wasteful number, since it uses less digits than its factorization.

97576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12224 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 97576000 is about 9878.0564890063. The cubic root of 97576000 is about 460.3777615231.

The spelling of 97576000 in words is "ninety-seven million, five hundred seventy-six thousand".