97879320 has 384 divisors, whose sum is σ = 413683200. Its totient is φ = 20148480.

The previous prime is 97879297. The next prime is 97879363. The reversal of 97879320 is 2397879.

It is a super-2 number, since 2×97879320² = 19160722567324800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914707 + ... + 914813.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^97879320 is an apocalyptic number.

97879320 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 97879320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

97879320 is an abundant number, since it is smaller than the sum of its proper divisors (315803880).

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

97879320 is a wasteful number, since it uses less digits than its factorization.

97879320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 97879320 is about 9893.3977985321. The cubic root of 97879320 is about 460.8543040385.

The spelling of 97879320 in words is "ninety-seven million, eight hundred seventy-nine thousand, three hundred twenty".