872933544 has 128 divisors (see below), whose sum is σ = 2934316800. Its totient is φ = 234731520.

The previous prime is 872933543. The next prime is 872933591. The reversal of 872933544 is 445339278.

872933544 is a `hidden beast` number, since 8 + 7 + 293 + 354 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 872933544.

It is not an unprimeable number, because it can be changed into a prime (872933543) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8724 + ... + 42684.

It is an arithmetic number, because the mean of its divisors is an integer number (22924350).

Almost surely, 2^872933544 is an apocalyptic number.

872933544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872933544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467158400).

872933544 is an abundant number, since it is smaller than the sum of its proper divisors (2061383256).

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

872933544 is a wasteful number, since it uses less digits than its factorization.

872933544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34000 (or 33990 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 872933544 is about 29545.4487865729. The cubic root of 872933544 is about 955.7120477507.

The spelling of 872933544 in words is "eight hundred seventy-two million, nine hundred thirty-three thousand, five hundred forty-four".