112362960 has 160 divisors (see below), whose sum is σ = 376225920. Its totient is φ = 27648000.

The previous prime is 112362949. The next prime is 112362961. The reversal of 112362960 is 69263211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112362961) 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, 186660 + ... + 187260.

It is an arithmetic number, because the mean of its divisors is an integer number (2351412).

Almost surely, 2^112362960 is an apocalyptic number.

112362960 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 112362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188112960).

112362960 is an abundant number, since it is smaller than the sum of its proper divisors (263862960).

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

112362960 is a wasteful number, since it uses less digits than its factorization.

112362960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 112362960 is about 10600.1396217220. The cubic root of 112362960 is about 482.5485968574.

It can be divided in two parts, 11236 and 2960, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 112362960 in words is "one hundred twelve million, three hundred sixty-two thousand, nine hundred sixty".