97578120 has 128 divisors (see below), whose sum is σ = 302279040. Its totient is φ = 25190400.

The previous prime is 97578097. The next prime is 97578133. The reversal of 97578120 is 2187579.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966070 + ... + 966170.

It is an arithmetic number, because the mean of its divisors is an integer number (2361555).

Almost surely, 2^97578120 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 97578120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151139520).

97578120 is an abundant number, since it is smaller than the sum of its proper divisors (204700920).

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

97578120 is a wasteful number, since it uses less digits than its factorization.

97578120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 97578120 is about 9878.1637969817. The cubic root of 97578120 is about 460.3810956551.

The spelling of 97578120 in words is "ninety-seven million, five hundred seventy-eight thousand, one hundred twenty".