97505664 has 64 divisors (see below), whose sum is σ = 267386880. Its totient is φ = 31449600.

The previous prime is 97505621. The next prime is 97505677. The reversal of 97505664 is 46650579.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7809 + ... + 15999.

It is an arithmetic number, because the mean of its divisors is an integer number (4177920).

Almost surely, 2^97505664 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 97505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133693440).

97505664 is an abundant number, since it is smaller than the sum of its proper divisors (169881216).

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

97505664 is a wasteful number, since it uses less digits than its factorization.

97505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 97505664 is about 9874.4956326893. The cubic root of 97505664 is about 460.2671164403.

The spelling of 97505664 in words is "ninety-seven million, five hundred five thousand, six hundred sixty-four".