872557056 has 320 divisors, whose sum is σ = 3016949760. Its totient is φ = 243855360.

The previous prime is 872557033. The next prime is 872557061. The reversal of 872557056 is 650755278.

872557056 is a `hidden beast` number, since 8 + 7 + 25 + 570 + 56 = 666.

It is a super-2 number, since 2×872557056² = 1522711631950774272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable 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 31 ways as a sum of consecutive naturals, for example, 6870465 + ... + 6870591.

It is an arithmetic number, because the mean of its divisors is an integer number (9427968).

Almost surely, 2^872557056 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 872557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508474880).

872557056 is an abundant number, since it is smaller than the sum of its proper divisors (2144392704).

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

872557056 is a wasteful number, since it uses less digits than its factorization.

872557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 872557056 is about 29539.0767628239. The cubic root of 872557056 is about 955.5746314642.

The spelling of 872557056 in words is "eight hundred seventy-two million, five hundred fifty-seven thousand, fifty-six".