882518112 has 192 divisors, whose sum is σ = 3014323200. Its totient is φ = 245928960.

The previous prime is 882518069. The next prime is 882518113. The reversal of 882518112 is 211815288.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882518113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 246189 + ... + 249747.

It is an arithmetic number, because the mean of its divisors is an integer number (15699600).

Almost surely, 2^882518112 is an apocalyptic number.

882518112 is a gapful number since it is divisible by the number (82) 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 882518112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507161600).

882518112 is an abundant number, since it is smaller than the sum of its proper divisors (2131805088).

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

882518112 is a wasteful number, since it uses less digits than its factorization.

882518112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3612 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

The square root of 882518112 is about 29707.2063984482. The cubic root of 882518112 is about 959.1971412474.

The spelling of 882518112 in words is "eight hundred eighty-two million, five hundred eighteen thousand, one hundred twelve".