97579920 has 40 divisors (see below), whose sum is σ = 302498496. Its totient is φ = 26021248.

The previous prime is 97579919. The next prime is 97579921. The reversal of 97579920 is 2997579.

It is an interprime number because it is at equal distance from previous prime (97579919) and next prime (97579921).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97579920.

It is not an unprimeable number, because it can be changed into a prime (97579921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203052 + ... + 203531.

Almost surely, 2^97579920 is an apocalyptic number.

It is an amenable number.

97579920 is an abundant number, since it is smaller than the sum of its proper divisors (204918576).

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

97579920 is a wasteful number, since it uses less digits than its factorization.

97579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406599 (or 406593 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 48.

The square root of 97579920 is about 9878.2549066118. The cubic root of 97579920 is about 460.3839264840.

The spelling of 97579920 in words is "ninety-seven million, five hundred seventy-nine thousand, nine hundred twenty".