97659600 has 120 divisors (see below), whose sum is σ = 316438080. Its totient is φ = 25743360.

The previous prime is 97659557. The next prime is 97659607. The reversal of 97659600 is 695679.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97659607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115981 + ... + 116819.

It is an arithmetic number, because the mean of its divisors is an integer number (2636984).

Almost surely, 2^97659600 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 97659600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158219040).

97659600 is an abundant number, since it is smaller than the sum of its proper divisors (218778480).

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

97659600 is a wasteful number, since it uses less digits than its factorization.

97659600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 97659600 is about 9882.2871846552. The cubic root of 97659600 is about 460.5092029789.

The spelling of 97659600 in words is "ninety-seven million, six hundred fifty-nine thousand, six hundred".