97627776 has 64 divisors (see below), whose sum is σ = 272992800. Its totient is φ = 30827520.

The previous prime is 97627741. The next prime is 97627799. The reversal of 97627776 is 67772679.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606 + ... + 13986.

Almost surely, 2^97627776 is an apocalyptic number.

97627776 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 97627776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136496400).

97627776 is an abundant number, since it is smaller than the sum of its proper divisors (175365024).

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

97627776 is a wasteful number, since it uses less digits than its factorization.

97627776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13417 (or 13405 counting only the distinct ones).

The product of its digits is 1555848, while the sum is 51.

The square root of 97627776 is about 9880.6768998890. The cubic root of 97627776 is about 460.4591760245.

The spelling of 97627776 in words is "ninety-seven million, six hundred twenty-seven thousand, seven hundred seventy-six".