872496 has 60 divisors (see below), whose sum is σ = 2505048. Its totient is φ = 283392.

The previous prime is 872479. The next prime is 872533. The reversal of 872496 is 694278.

It is a super-2 number, since 2×872496² = 1522498540032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 8³ + 7⁷ + 4⁵ + 2⁵ + 9³ + 6⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 872496.

It is an unprimeable number.

872496 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 11 ways as a sum of consecutive naturals, for example, 10471 + ... + 10553.

2⁸⁷²⁴⁹⁶ 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 872496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252524).

872496 is an abundant number, since it is smaller than the sum of its proper divisors (1632552).

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

872496 is a wasteful number, since it uses less digits than its factorization.

872496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 872496 is about 934.0749434601. The cubic root of 872496 is about 95.5552342597. Note that the first 3 decimals are identical.

The spelling of 872496 in words is "eight hundred seventy-two thousand, four hundred ninety-six".