97680576 has 56 divisors (see below), whose sum is σ = 295371520. Its totient is φ = 27908352.

The previous prime is 97680571. The next prime is 97680587. The reversal of 97680576 is 67508679.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97680571) 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, 34996 + ... + 37683.

Almost surely, 2^97680576 is an apocalyptic number.

97680576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

97680576 is an abundant number, since it is smaller than the sum of its proper divisors (197690944).

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

97680576 is a wasteful number, since it uses less digits than its factorization.

97680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72701 (or 72691 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 97680576 is about 9883.3484204494. The cubic root of 97680576 is about 460.5421710623.

The spelling of 97680576 in words is "ninety-seven million, six hundred eighty thousand, five hundred seventy-six".