872584320 has 256 divisors, whose sum is σ = 2913511680. Its totient is φ = 221921280.

The previous prime is 872584303. The next prime is 872584343. The reversal of 872584320 is 23485278.

It is a super-2 number, since 2×872584320² = 1522806791019724800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5043754 + ... + 5043926.

It is an arithmetic number, because the mean of its divisors is an integer number (11380905).

Almost surely, 2^872584320 is an apocalyptic number.

872584320 is a gapful number since it is divisible by the number (80) 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 872584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456755840).

872584320 is an abundant number, since it is smaller than the sum of its proper divisors (2040927360).

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

872584320 is a wasteful number, since it uses less digits than its factorization.

872584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 872584320 is about 29539.5382496071. The cubic root of 872584320 is about 955.5845840189.

The spelling of 872584320 in words is "eight hundred seventy-two million, five hundred eighty-four thousand, three hundred twenty".