112766976 has 312 divisors, whose sum is σ = 408894720. Its totient is φ = 29196288.

The previous prime is 112766921. The next prime is 112766981. The reversal of 112766976 is 679667211.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (190512) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4902901 + ... + 4902923.

It is an arithmetic number, because the mean of its divisors is an integer number (1310560).

Almost surely, 2^112766976 is an apocalyptic number.

112766976 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 112766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204447360).

112766976 is an abundant number, since it is smaller than the sum of its proper divisors (296127744).

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

112766976 is a wasteful number, since it uses less digits than its factorization.

112766976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 112766976 is about 10619.1796293311. The cubic root of 112766976 is about 483.1262609871.

The spelling of 112766976 in words is "one hundred twelve million, seven hundred sixty-six thousand, nine hundred seventy-six".