872406 has 24 divisors (see below), whose sum is σ = 2002104. Its totient is φ = 273600.

The previous prime is 872393. The next prime is 872411. The reversal of 872406 is 604278.

It is a super-2 number, since 2×872406² = 1522184457672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872406.

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 872406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1120 + ... + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (83421).

2⁸⁷²⁴⁰⁶ is an apocalyptic number.

872406 is an abundant number, since it is smaller than the sum of its proper divisors (1129698).

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

872406 is a wasteful number, since it uses less digits than its factorization.

872406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 872406 is about 934.0267662118. The cubic root of 872406 is about 95.5519485648.

The spelling of 872406 in words is "eight hundred seventy-two thousand, four hundred six".