872408 has 16 divisors (see below), whose sum is σ = 1648080. Its totient is φ = 432928.

The previous prime is 872393. The next prime is 872411. The reversal of 872408 is 804278.

It is a super-2 number, since 2×872408² = 1522191436928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

872408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1010 + ... + 1662.

It is an arithmetic number, because the mean of its divisors is an integer number (103005).

2⁸⁷²⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

872408 is a deficient number, since it is larger than the sum of its proper divisors (775672).

872408 is a wasteful number, since it uses less digits than its factorization.

872408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 872408 is about 934.0278368443. The cubic root of 872408 is about 95.5520215827.

The spelling of 872408 in words is "eight hundred seventy-two thousand, four hundred eight".