832864032 has 576 divisors, whose sum is σ = 3328625664. Its totient is φ = 197821440.

The previous prime is 832864027. The next prime is 832864061. The reversal of 832864032 is 230468238.

832864032 is a `hidden beast` number, since 8 + 3 + 2 + 8 + 640 + 3 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 7783723 + ... + 7783829.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2^832864032 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 832864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664312832).

832864032 is an abundant number, since it is smaller than the sum of its proper divisors (2495761632).

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

832864032 is a wasteful number, since it uses less digits than its factorization.

832864032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 832864032 is about 28859.3837772049. The cubic root of 832864032 is about 940.8593439243.

The spelling of 832864032 in words is "eight hundred thirty-two million, eight hundred sixty-four thousand, thirty-two".