112926960 has 240 divisors, whose sum is σ = 406494816. Its totient is φ = 29113344.

The previous prime is 112926917. The next prime is 112926973. The reversal of 112926960 is 69629211.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719202 + ... + 719358.

Almost surely, 2^112926960 is an apocalyptic number.

112926960 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 112926960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203247408).

112926960 is an abundant number, since it is smaller than the sum of its proper divisors (293567856).

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

112926960 is a wasteful number, since it uses less digits than its factorization.

112926960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 112926960 is about 10626.7097447893. The cubic root of 112926960 is about 483.3546255648.

The spelling of 112926960 in words is "one hundred twelve million, nine hundred twenty-six thousand, nine hundred sixty".