97535664 has 200 divisors, whose sum is σ = 315984240. Its totient is φ = 28864512.

The previous prime is 97535639. The next prime is 97535687. The reversal of 97535664 is 46653579.

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 39 ways as a sum of consecutive naturals, for example, 418492 + ... + 418724.

Almost surely, 2^97535664 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 97535664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157992120).

97535664 is an abundant number, since it is smaller than the sum of its proper divisors (218448576).

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

97535664 is a wasteful number, since it uses less digits than its factorization.

97535664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 97535664 is about 9876.0145807912. The cubic root of 97535664 is about 460.3143157415.

The spelling of 97535664 in words is "ninety-seven million, five hundred thirty-five thousand, six hundred sixty-four".