832896 has 64 divisors (see below), whose sum is σ = 2468400. Its totient is φ = 276480.

The previous prime is 832889. The next prime is 832913. The reversal of 832896 is 698238.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×832896³ = 1733379211980177408, which contains 333 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 832896.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 832896.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3336 + ... + 3576.

2⁸³²⁸⁹⁶ 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 832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234200).

832896 is an abundant number, since it is smaller than the sum of its proper divisors (1635504).

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

832896 is a wasteful number, since it uses less digits than its factorization.

832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 832896 is about 912.6313604079. The cubic root of 832896 is about 94.0871381506.

It can be divided in two parts, 832 and 896, that added together give a cube (1728 = 12³).

The spelling of 832896 in words is "eight hundred thirty-two thousand, eight hundred ninety-six".