112882960 has 20 divisors (see below), whose sum is σ = 262453068. Its totient is φ = 45153152.

The previous prime is 112882943. The next prime is 112883027. The reversal of 112882960 is 69288211.

It can be written as a sum of positive squares in 2 ways, for example, as 75134224 + 37748736 = 8668^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 705439 + ... + 705598.

Almost surely, 2^112882960 is an apocalyptic number.

112882960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112882960 is an abundant number, since it is smaller than the sum of its proper divisors (149570108).

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

112882960 is a wasteful number, since it uses less digits than its factorization.

112882960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411050 (or 1411044 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 112882960 is about 10624.6392879947. The cubic root of 112882960 is about 483.2918405390.

The spelling of 112882960 in words is "one hundred twelve million, eight hundred eighty-two thousand, nine hundred sixty".