112979880 has 192 divisors, whose sum is σ = 408456000. Its totient is φ = 27765504.

The previous prime is 112979879. The next prime is 112979897. The reversal of 112979880 is 88979211.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182211 + ... + 182829.

It is an arithmetic number, because the mean of its divisors is an integer number (2127375).

Almost surely, 2^112979880 is an apocalyptic number.

112979880 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 112979880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204228000).

112979880 is an abundant number, since it is smaller than the sum of its proper divisors (295476120).

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

112979880 is a wasteful number, since it uses less digits than its factorization.

112979880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 112979880 is about 10629.1994054115. The cubic root of 112979880 is about 483.4301172283.

The spelling of 112979880 in words is "one hundred twelve million, nine hundred seventy-nine thousand, eight hundred eighty".