112818160 has 80 divisors (see below), whose sum is σ = 322854336. Its totient is φ = 35702784.

The previous prime is 112818133. The next prime is 112818179. The reversal of 112818160 is 61818211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469 + ... + 15028.

Almost surely, 2^112818160 is an apocalyptic number.

112818160 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 112818160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161427168).

112818160 is an abundant number, since it is smaller than the sum of its proper divisors (210036176).

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

112818160 is a wasteful number, since it uses less digits than its factorization.

112818160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530 (or 15524 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 28.

The square root of 112818160 is about 10621.5893349348. The cubic root of 112818160 is about 483.1993456053.

The spelling of 112818160 in words is "one hundred twelve million, eight hundred eighteen thousand, one hundred sixty".