112786560 has 256 divisors, whose sum is σ = 409795200. Its totient is φ = 29306880.

The previous prime is 112786529. The next prime is 112786573. The reversal of 112786560 is 65687211.

112786560 is a `hidden beast` number, since 1 + 12 + 7 + 86 + 560 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 1054027 + ... + 1054133.

Almost surely, 2^112786560 is an apocalyptic number.

112786560 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 112786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

112786560 is an abundant number, since it is smaller than the sum of its proper divisors (297008640).

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

112786560 is a wasteful number, since it uses less digits than its factorization.

112786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 112786560 is about 10620.1016944284. The cubic root of 112786560 is about 483.1542272037.

The spelling of 112786560 in words is "one hundred twelve million, seven hundred eighty-six thousand, five hundred sixty".