112764960 has 480 divisors, whose sum is σ = 500556672. Its totient is φ = 23224320.

The previous prime is 112764923. The next prime is 112765031. The reversal of 112764960 is 69467211.

112764960 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 997864 + ... + 997976.

Almost surely, 2^112764960 is an apocalyptic number.

112764960 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 112764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250278336).

112764960 is an abundant number, since it is smaller than the sum of its proper divisors (387791712).

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

112764960 is a wasteful number, since it uses less digits than its factorization.

112764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 112764960 is about 10619.0847063200. The cubic root of 112764960 is about 483.1233819281.

The spelling of 112764960 in words is "one hundred twelve million, seven hundred sixty-four thousand, nine hundred sixty".