872896 has 28 divisors (see below), whose sum is σ = 1810512. Its totient is φ = 416768.

The previous prime is 872863. The next prime is 872923. The reversal of 872896 is 698278.

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 872896.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1176 + ... + 1768.

2⁸⁷²⁸⁹⁶ 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 872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905256).

872896 is an abundant number, since it is smaller than the sum of its proper divisors (937616).

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

872896 is a wasteful number, since it uses less digits than its factorization.

872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 872896 is about 934.2890345070. The cubic root of 872896 is about 95.5698346147.

The spelling of 872896 in words is "eight hundred seventy-two thousand, eight hundred ninety-six".