112987560 has 128 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 24986880.

The previous prime is 112987543. The next prime is 112987579. The reversal of 112987560 is 65789211.

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 31 ways as a sum of consecutive naturals, for example, 23871 + ... + 28209.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^112987560 is an apocalyptic number.

112987560 is a gapful number since it is divisible by the number (10) 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 112987560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

112987560 is an abundant number, since it is smaller than the sum of its proper divisors (286986840).

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

112987560 is a wasteful number, since it uses less digits than its factorization.

112987560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 112987560 is about 10629.5606682497. The cubic root of 112987560 is about 483.4410709756.

The spelling of 112987560 in words is "one hundred twelve million, nine hundred eighty-seven thousand, five hundred sixty".