97738880 has 32 divisors (see below), whose sum is σ = 233658540. Its totient is φ = 39095296.

The previous prime is 97738859. The next prime is 97738889. The reversal of 97738880 is 8883779.

It can be written as a sum of positive squares in 2 ways, for example, as 95101504 + 2637376 = 9752^2 + 1624^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (97738889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75719 + ... + 76998.

Almost surely, 2^97738880 is an apocalyptic number.

It is an amenable number.

97738880 is an abundant number, since it is smaller than the sum of its proper divisors (135919660).

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

97738880 is a wasteful number, since it uses less digits than its factorization.

97738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152736 (or 152724 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The square root of 97738880 is about 9886.2975880761. The cubic root of 97738880 is about 460.6337829645.

The spelling of 97738880 in words is "ninety-seven million, seven hundred thirty-eight thousand, eight hundred eighty".