97646528 has 112 divisors (see below), whose sum is σ = 234086400. Its totient is φ = 39536640.

The previous prime is 97646501. The next prime is 97646531. The reversal of 97646528 is 82564679.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×97646528³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097108 + ... + 1097196.

Almost surely, 2^97646528 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 97646528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117043200).

97646528 is an abundant number, since it is smaller than the sum of its proper divisors (136439872).

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

97646528 is a wasteful number, since it uses less digits than its factorization.

97646528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 97646528 is about 9881.6257771685. The cubic root of 97646528 is about 460.4886552638.

The spelling of 97646528 in words is "ninety-seven million, six hundred forty-six thousand, five hundred twenty-eight".