872827368 has 128 divisors (see below), whose sum is σ = 2626560000. Its totient is φ = 236307456.

The previous prime is 872827349. The next prime is 872827433. The reversal of 872827368 is 863728278.

It is a super-2 number, since 2×872827368² = 1523655228659614848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 872827368.

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, 435633 + ... + 437631.

It is an arithmetic number, because the mean of its divisors is an integer number (20520000).

Almost surely, 2^872827368 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 872827368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313280000).

872827368 is an abundant number, since it is smaller than the sum of its proper divisors (1753732632).

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

872827368 is a wasteful number, since it uses less digits than its factorization.

872827368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2147 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 872827368 is about 29543.6519069664. The cubic root of 872827368 is about 955.6732980286.

The spelling of 872827368 in words is "eight hundred seventy-two million, eight hundred twenty-seven thousand, three hundred sixty-eight".