882957120 has 112 divisors (see below), whose sum is σ = 2925348480. Its totient is φ = 225212416.

The previous prime is 882957109. The next prime is 882957137. The reversal of 882957120 is 21759288.

It is a super-2 number, since 2×882957120² = 1559226551517388800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2086 + ... + 42074.

Almost surely, 2^882957120 is an apocalyptic number.

882957120 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 882957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462674240).

882957120 is an abundant number, since it is smaller than the sum of its proper divisors (2042391360).

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

882957120 is a wasteful number, since it uses less digits than its factorization.

882957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40032 (or 40022 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 882957120 is about 29714.5943940011. The cubic root of 882957120 is about 959.3561655241.

The spelling of 882957120 in words is "eight hundred eighty-two million, nine hundred fifty-seven thousand, one hundred twenty".