112975560 has 192 divisors, whose sum is σ = 389188800. Its totient is φ = 29465856.

The previous prime is 112975553. The next prime is 112975567. The reversal of 112975560 is 65579211.

112975560 is a `hidden beast` number, since 1 + 1 + 2 + 97 + 5 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (112975553) and next prime (112975567).

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

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (112975567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573382 + ... + 573578.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 2^112975560 is an apocalyptic number.

112975560 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 112975560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

112975560 is an abundant number, since it is smaller than the sum of its proper divisors (276213240).

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

112975560 is a wasteful number, since it uses less digits than its factorization.

112975560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 112975560 is about 10628.9961896691. The cubic root of 112975560 is about 483.4239555273.

The spelling of 112975560 in words is "one hundred twelve million, nine hundred seventy-five thousand, five hundred sixty".