112619880 has 96 divisors (see below), whose sum is σ = 367567200. Its totient is φ = 29904768.

The previous prime is 112619879. The next prime is 112619887. The reversal of 112619880 is 88916211.

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

It is not an unprimeable number, because it can be changed into a prime (112619887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110011 + ... + 111029.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 2^112619880 is an apocalyptic number.

112619880 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 112619880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183783600).

112619880 is an abundant number, since it is smaller than the sum of its proper divisors (254947320).

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

112619880 is a wasteful number, since it uses less digits than its factorization.

112619880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1336 counting only the distinct ones).

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

The square root of 112619880 is about 10612.2514105161. The cubic root of 112619880 is about 482.9161023471.

The spelling of 112619880 in words is "one hundred twelve million, six hundred nineteen thousand, eight hundred eighty".