97625968 has 80 divisors (see below), whose sum is σ = 222200064. Its totient is φ = 41057280.

The previous prime is 97625963. The next prime is 97625981. The reversal of 97625968 is 86952679.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97625963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200221 + ... + 200707.

Almost surely, 2^97625968 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 97625968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111100032).

97625968 is an abundant number, since it is smaller than the sum of its proper divisors (124574096).

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

97625968 is a wasteful number, since it uses less digits than its factorization.

97625968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The square root of 97625968 is about 9880.5854077580. The cubic root of 97625968 is about 460.4563335434.

Subtracting from 97625968 its reverse (86952679), we obtain a square (10673289 = 3267²).

The spelling of 97625968 in words is "ninety-seven million, six hundred twenty-five thousand, nine hundred sixty-eight".