882639072 has 192 divisors, whose sum is σ = 3097382400. Its totient is φ = 238878720.

The previous prime is 882639067. The next prime is 882639119. The reversal of 882639072 is 270936288.

882639072 is a `hidden beast` number, since 8 + 8 + 2 + 639 + 0 + 7 + 2 = 666.

It is a congruent number.

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, 111072 + ... + 118752.

It is an arithmetic number, because the mean of its divisors is an integer number (16132200).

Almost surely, 2^882639072 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 882639072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548691200).

882639072 is an abundant number, since it is smaller than the sum of its proper divisors (2214743328).

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

882639072 is a wasteful number, since it uses less digits than its factorization.

882639072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 882639072 is about 29709.2421983463. The cubic root of 882639072 is about 959.2409625145.

The spelling of 882639072 in words is "eight hundred eighty-two million, six hundred thirty-nine thousand, seventy-two".