112988160 has 156 divisors (see below), whose sum is σ = 392283372. Its totient is φ = 30081024.

The previous prime is 112988153. The next prime is 112988173. The reversal of 112988160 is 61889211.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 99680256 = 3648^2 + 9984^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184014 + ... + 184626.

It is an arithmetic number, because the mean of its divisors is an integer number (2514637).

Almost surely, 2^112988160 is an apocalyptic number.

112988160 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 112988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196141686).

112988160 is an abundant number, since it is smaller than the sum of its proper divisors (279295212).

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

112988160 is an equidigital number, since it uses as much as digits as its factorization.

112988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 112988160 is about 10629.5888913918. The cubic root of 112988160 is about 483.4419267162.

The spelling of 112988160 in words is "one hundred twelve million, nine hundred eighty-eight thousand, one hundred sixty".