96832512 has 264 divisors, whose sum is σ = 340620800. Its totient is φ = 25878528.

The previous prime is 96832501. The next prime is 96832573. The reversal of 96832512 is 21523869.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225689 + ... + 1225767.

Almost surely, 2^96832512 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 96832512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170310400).

96832512 is an abundant number, since it is smaller than the sum of its proper divisors (243788288).

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

96832512 is a wasteful number, since it uses less digits than its factorization.

96832512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 96832512 is about 9840.3512132444. The cubic root of 96832512 is about 459.2054841984.

It can be divided in two parts, 96832 and 512, that added together give a square (97344 = 312²).

The spelling of 96832512 in words is "ninety-six million, eight hundred thirty-two thousand, five hundred twelve".