97956864 has 110 divisors (see below), whose sum is σ = 292766034. Its totient is φ = 32624640.

The previous prime is 97956847. The next prime is 97956877. The reversal of 97956864 is 46865979.

97956864 is a `hidden beast` number, since 9 + 79 + 568 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95883264 + 2073600 = 9792^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 97956864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82354 + ... + 83534.

Almost surely, 2^97956864 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 97956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146383017).

97956864 is an abundant number, since it is smaller than the sum of its proper divisors (194809170).

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

97956864 is a wasteful number, since it uses less digits than its factorization.

97956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1186 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 97956864 is about 9897.3159998052. The cubic root of 97956864 is about 460.9759744554.

The spelling of 97956864 in words is "ninety-seven million, nine hundred fifty-six thousand, eight hundred sixty-four".