97265664 has 96 divisors (see below), whose sum is σ = 288288000. Its totient is φ = 32403456.

The previous prime is 97265647. The next prime is 97265671. The reversal of 97265664 is 46656279.

It is a tau number, because it is divible by the number of its divisors (96).

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, 54417 + ... + 56175.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2^97265664 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 97265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144000).

97265664 is an abundant number, since it is smaller than the sum of its proper divisors (191022336).

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

97265664 is a wasteful number, since it uses less digits than its factorization.

97265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1764 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 97265664 is about 9862.3356260067. The cubic root of 97265664 is about 459.8891730488.

The spelling of 97265664 in words is "ninety-seven million, two hundred sixty-five thousand, six hundred sixty-four".