112592160 has 192 divisors, whose sum is σ = 400982400. Its totient is φ = 29500416.

The previous prime is 112592149. The next prime is 112592167. The reversal of 112592160 is 61295211.

112592160 is a `hidden beast` number, since 1 + 12 + 592 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112592167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289246 + ... + 289634.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^112592160 is an apocalyptic number.

112592160 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 112592160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

112592160 is an abundant number, since it is smaller than the sum of its proper divisors (288390240).

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

112592160 is a wasteful number, since it uses less digits than its factorization.

112592160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 112592160 is about 10610.9452924798. The cubic root of 112592160 is about 482.8764778071.

The spelling of 112592160 in words is "one hundred twelve million, five hundred ninety-two thousand, one hundred sixty".