872644 has 24 divisors (see below), whose sum is σ = 1661688. Its totient is φ = 399360.

The previous prime is 872623. The next prime is 872647. The reversal of 872644 is 446278.

872644 = T₁₂₅ + T₁₂₆ + ... + T₁₉₂.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 864900 = 88^2 + 930^2 .

It is not an unprimeable number, because it can be changed into a prime (872647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2632 + ... + 2944.

It is an arithmetic number, because the mean of its divisors is an integer number (69237).

2⁸⁷²⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

872644 is a deficient number, since it is larger than the sum of its proper divisors (789044).

872644 is a wasteful number, since it uses less digits than its factorization.

872644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 872644 is about 934.1541628661. The cubic root of 872644 is about 95.5606369110.

The spelling of 872644 in words is "eight hundred seventy-two thousand, six hundred forty-four".