112560 has 80 divisors (see below), whose sum is σ = 404736. Its totient is φ = 25344.

The previous prime is 112559. The next prime is 112571. The reversal of 112560 is 65211.

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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1647 + ... + 1713.

2¹¹²⁵⁶⁰ is an apocalyptic number.

112560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 335×336.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368).

112560 is an abundant number, since it is smaller than the sum of its proper divisors (292176).

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

112560 is a wasteful number, since it uses less digits than its factorization.

112560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 112560 is about 335.4996274216. The cubic root of 112560 is about 48.2830498329.

Adding to 112560 its sum of digits (15), we get a triangular number (112575 = T₄₇₄).

Adding to 112560 its reverse (65211), we get a palindrome (177771).

It can be divided in two parts, 1 and 12560, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 112560 in words is "one hundred twelve thousand, five hundred sixty".