112580928 has 196 divisors, whose sum is σ = 355356160. Its totient is φ = 35271936.

The previous prime is 112580927. The next prime is 112580989. The reversal of 112580928 is 829085211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112580892 and 112580901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112580921) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 886401 + ... + 886527.

Almost surely, 2^112580928 is an apocalyptic number.

112580928 is a gapful number since it is divisible by the number (18) 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 112580928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177678080).

112580928 is an abundant number, since it is smaller than the sum of its proper divisors (242775232).

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

112580928 is an equidigital number, since it uses as much as digits as its factorization.

112580928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 112580928 is about 10610.4160144643. The cubic root of 112580928 is about 482.8604202978.

The spelling of 112580928 in words is "one hundred twelve million, five hundred eighty thousand, nine hundred twenty-eight".