97577676 has 96 divisors (see below), whose sum is σ = 290734080. Its totient is φ = 27724032.

The previous prime is 97577639. The next prime is 97577723. The reversal of 97577676 is 67677579.

97577676 is a `hidden beast` number, since 9 + 7 + 577 + 67 + 6 = 666.

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

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, 254581 + ... + 254963.

It is an arithmetic number, because the mean of its divisors is an integer number (3028480).

Almost surely, 2^97577676 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 97577676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145367040).

97577676 is an abundant number, since it is smaller than the sum of its proper divisors (193156404).

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

97577676 is a wasteful number, since it uses less digits than its factorization.

97577676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its digits is 3889620, while the sum is 54.

The square root of 97577676 is about 9878.1413231437. The cubic root of 97577676 is about 460.3803973787.

The spelling of 97577676 in words is "ninety-seven million, five hundred seventy-seven thousand, six hundred seventy-six".