97918656 has 112 divisors (see below), whose sum is σ = 287048448. Its totient is φ = 29209600.

The previous prime is 97918627. The next prime is 97918679. The reversal of 97918656 is 65681979.

It is a junction number, because it is equal to n+sod(n) for n = 97918599 and 97918608.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 149626 + ... + 150278.

Almost surely, 2^97918656 is an apocalyptic number.

97918656 is a gapful number since it is divisible by the number (96) 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 97918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143524224).

97918656 is an abundant number, since it is smaller than the sum of its proper divisors (189129792).

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

97918656 is a wasteful number, since it uses less digits than its factorization.

97918656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its digits is 816480, while the sum is 51.

The square root of 97918656 is about 9895.3855912743. The cubic root of 97918656 is about 460.9160322190.

The spelling of 97918656 in words is "ninety-seven million, nine hundred eighteen thousand, six hundred fifty-six".