112057560 has 128 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 28909440.

The previous prime is 112057507. The next prime is 112057577. The reversal of 112057560 is 65750211.

112057560 is a `hidden beast` number, since 11 + 20 + 575 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31807 + ... + 35153.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2^112057560 is an apocalyptic number.

112057560 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 112057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

112057560 is an abundant number, since it is smaller than the sum of its proper divisors (273632040).

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

112057560 is a wasteful number, since it uses less digits than its factorization.

112057560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 112057560 is about 10585.7243493301. The cubic root of 112057560 is about 482.1110147577. Note that the first 3 decimals are identical.

The spelling of 112057560 in words is "one hundred twelve million, fifty-seven thousand, five hundred sixty".