872484 has 12 divisors (see below), whose sum is σ = 2035824. Its totient is φ = 290824.

The previous prime is 872479. The next prime is 872533. The reversal of 872484 is 484278.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×872484² = 1522456660512, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872484.

It is an unprimeable number.

872484 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36342 + ... + 36365.

It is an arithmetic number, because the mean of its divisors is an integer number (169652).

2⁸⁷²⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

872484 is an abundant number, since it is smaller than the sum of its proper divisors (1163340).

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

872484 is a wasteful number, since it uses less digits than its factorization.

872484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72714 (or 72712 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 872484 is about 934.0685199706. The cubic root of 872484 is about 95.5547961801.

The spelling of 872484 in words is "eight hundred seventy-two thousand, four hundred eighty-four".