112861920 has 96 divisors (see below), whose sum is σ = 371008512. Its totient is φ = 28785152.

The previous prime is 112861907. The next prime is 112861927. The reversal of 112861920 is 29168211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (112861927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5929 + ... + 16151.

It is an arithmetic number, because the mean of its divisors is an integer number (3864672).

Almost surely, 2^112861920 is an apocalyptic number.

112861920 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 112861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185504256).

112861920 is an abundant number, since it is smaller than the sum of its proper divisors (258146592).

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

112861920 is a wasteful number, since it uses less digits than its factorization.

112861920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264 (or 10256 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 112861920 is about 10623.6490905903. The cubic root of 112861920 is about 483.2618121150.

The spelling of 112861920 in words is "one hundred twelve million, eight hundred sixty-one thousand, nine hundred twenty".