112979520 has 84 divisors (see below), whose sum is σ = 388612380. Its totient is φ = 30127104.

The previous prime is 112979507. The next prime is 112979539. The reversal of 112979520 is 25979211.

112979520 is a `hidden beast` number, since 1 + 129 + 7 + 9 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88059456 + 24920064 = 9384^2 + 4992^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16735 + ... + 22494.

Almost surely, 2^112979520 is an apocalyptic number.

112979520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112979520 is an abundant number, since it is smaller than the sum of its proper divisors (275632860).

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

112979520 is a wasteful number, since it uses less digits than its factorization.

112979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39252 (or 39239 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 112979520 is about 10629.1824709147. The cubic root of 112979520 is about 483.4296037592.

The spelling of 112979520 in words is "one hundred twelve million, nine hundred seventy-nine thousand, five hundred twenty".