112887360 has 168 divisors, whose sum is σ = 408919680. Its totient is φ = 28505088.

The previous prime is 112887353. The next prime is 112887389. The reversal of 112887360 is 63788211.

112887360 is a `hidden beast` number, since 11 + 288 + 7 + 360 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 53689 + ... + 55751.

Almost surely, 2^112887360 is an apocalyptic number.

112887360 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 112887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204459840).

112887360 is an abundant number, since it is smaller than the sum of its proper divisors (296032320).

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

112887360 is a wasteful number, since it uses less digits than its factorization.

112887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 112887360 is about 10624.8463518302. The cubic root of 112887360 is about 483.2981197757.

It can be divided in two parts, 1128 and 87360, that added together give a palindrome (88488).

The spelling of 112887360 in words is "one hundred twelve million, eight hundred eighty-seven thousand, three hundred sixty".