97632864 has 120 divisors (see below), whose sum is σ = 328215888. Its totient is φ = 27889920.

The previous prime is 97632863. The next prime is 97632883. The reversal of 97632864 is 46823679.

97632864 is a `hidden beast` number, since 9 + 7 + 632 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×97632864² = 19064352265684992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97632863) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 15454 + ... + 20834.

Almost surely, 2^97632864 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 97632864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164107944).

97632864 is an abundant number, since it is smaller than the sum of its proper divisors (230583024).

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

97632864 is a wasteful number, since it uses less digits than its factorization.

97632864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5393 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 97632864 is about 9880.9343687730. The cubic root of 97632864 is about 460.4671750308.

The spelling of 97632864 in words is "ninety-seven million, six hundred thirty-two thousand, eight hundred sixty-four".