97627464 has 128 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 27832320.

The previous prime is 97627451. The next prime is 97627471. The reversal of 97627464 is 46472679.

It is a super-2 number, since 2×97627464² = 19062243454142592, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 39184 + ... + 41600.

It is an arithmetic number, because the mean of its divisors is an integer number (2448225).

Almost surely, 2^97627464 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 97627464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

97627464 is an abundant number, since it is smaller than the sum of its proper divisors (215745336).

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

97627464 is a wasteful number, since it uses less digits than its factorization.

97627464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2450 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 97627464 is about 9880.6611114844. The cubic root of 97627464 is about 460.4586855104.

The spelling of 97627464 in words is "ninety-seven million, six hundred twenty-seven thousand, four hundred sixty-four".