882163920 has 320 divisors, whose sum is σ = 3221222400. Its totient is φ = 197406720.

The previous prime is 882163903. The next prime is 882163937. The reversal of 882163920 is 29361288.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (882163903) and next prime (882163937).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2156676 + ... + 2157084.

It is an arithmetic number, because the mean of its divisors is an integer number (10066320).

Almost surely, 2^882163920 is an apocalyptic number.

882163920 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 882163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610611200).

882163920 is an abundant number, since it is smaller than the sum of its proper divisors (2339058480).

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

882163920 is a wasteful number, since it uses less digits than its factorization.

882163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 882163920 is about 29701.2444183741. The cubic root of 882163920 is about 959.0688018928.

The spelling of 882163920 in words is "eight hundred eighty-two million, one hundred sixty-three thousand, nine hundred twenty".