112688976 has 80 divisors (see below), whose sum is σ = 302284224. Its totient is φ = 36145152.

The previous prime is 112688957. The next prime is 112688987. The reversal of 112688976 is 679886211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 189736 + ... + 190328.

Almost surely, 2^112688976 is an apocalyptic number.

112688976 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 112688976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151142112).

112688976 is an abundant number, since it is smaller than the sum of its proper divisors (189595248).

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

112688976 is a wasteful number, since it uses less digits than its factorization.

112688976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 112688976 is about 10615.5063939503. The cubic root of 112688976 is about 483.0148437928.

The spelling of 112688976 in words is "one hundred twelve million, six hundred eighty-eight thousand, nine hundred seventy-six".