97938560 has 64 divisors (see below), whose sum is σ = 236054520. Its totient is φ = 38854656.

The previous prime is 97938551. The next prime is 97938583. The reversal of 97938560 is 6583979.

It can be written as a sum of positive squares in 4 ways, for example, as 56670784 + 41267776 = 7528^2 + 6424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87122 + ... + 88238.

Almost surely, 2^97938560 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 97938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118027260).

97938560 is an abundant number, since it is smaller than the sum of its proper divisors (138115960).

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

97938560 is a wasteful number, since it uses less digits than its factorization.

97938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 97938560 is about 9896.3912614650. The cubic root of 97938560 is about 460.9472603545.

The spelling of 97938560 in words is "ninety-seven million, nine hundred thirty-eight thousand, five hundred sixty".