97319880 has 240 divisors, whose sum is σ = 381128220. Its totient is φ = 22208256.

The previous prime is 97319791. The next prime is 97319891. The reversal of 97319880 is 8891379.

It can be written as a sum of positive squares in 2 ways, for example, as 80030916 + 17288964 = 8946^2 + 4158^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158454 + ... + 159066.

Almost surely, 2^97319880 is an apocalyptic number.

97319880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97319880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190564110).

97319880 is an abundant number, since it is smaller than the sum of its proper divisors (283808340).

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

97319880 is a wasteful number, since it uses less digits than its factorization.

97319880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 97319880 is about 9865.0838820559. The cubic root of 97319880 is about 459.9746047732.

The spelling of 97319880 in words is "ninety-seven million, three hundred nineteen thousand, eight hundred eighty".