97657920 has 224 divisors, whose sum is σ = 351129600. Its totient is φ = 25546752.

The previous prime is 97657907. The next prime is 97657933. The reversal of 97657920 is 2975679.

97657920 is a `hidden beast` number, since 9 + 76 + 579 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97657907) and next prime (97657933).

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 31 ways as a sum of consecutive naturals, for example, 768897 + ... + 769023.

Almost surely, 2^97657920 is an apocalyptic number.

97657920 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 97657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

97657920 is an abundant number, since it is smaller than the sum of its proper divisors (253471680).

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

97657920 is a wasteful number, since it uses less digits than its factorization.

97657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 97657920 is about 9882.2021837240. The cubic root of 97657920 is about 460.5065623103.

The spelling of 97657920 in words is "ninety-seven million, six hundred fifty-seven thousand, nine hundred twenty".