97564864 has 56 divisors (see below), whose sum is σ = 200251568. Its totient is φ = 47139840.

The previous prime is 97564837. The next prime is 97564877. The reversal of 97564864 is 46846579.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261382 + ... + 261754.

Almost surely, 2^97564864 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 97564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100125784).

97564864 is an abundant number, since it is smaller than the sum of its proper divisors (102686704).

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

97564864 is a wasteful number, since it uses less digits than its factorization.

97564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 97564864 is about 9877.4927992887. The cubic root of 97564864 is about 460.3602471009.

The spelling of 97564864 in words is "ninety-seven million, five hundred sixty-four thousand, eight hundred sixty-four".