112651776 has 160 divisors (see below), whose sum is σ = 346183200. Its totient is φ = 36126720.

The previous prime is 112651733. The next prime is 112651783. The reversal of 112651776 is 677156211.

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

Its product of digits (17640) is a multiple of the sum of its prime divisors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 112651776.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 400756 + ... + 401036.

It is an arithmetic number, because the mean of its divisors is an integer number (2163645).

Almost surely, 2^112651776 is an apocalyptic number.

112651776 is a gapful number since it is divisible by the number (16) 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 112651776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173091600).

112651776 is an abundant number, since it is smaller than the sum of its proper divisors (233531424).

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

112651776 is an equidigital number, since it uses as much as digits as its factorization.

112651776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 315 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 112651776 is about 10613.7540955121. The cubic root of 112651776 is about 482.9616882540.

It can be divided in two parts, 11265 and 1776, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 112651776 in words is "one hundred twelve million, six hundred fifty-one thousand, seven hundred seventy-six".