112978632 has 64 divisors (see below), whose sum is σ = 314012160. Its totient is φ = 33638400.

The previous prime is 112978603. The next prime is 112978639. The reversal of 112978632 is 236879211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (112978639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832 + ... + 15512.

It is an arithmetic number, because the mean of its divisors is an integer number (4906440).

Almost surely, 2^112978632 is an apocalyptic number.

112978632 is a gapful number since it is divisible by the number (12) 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 112978632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157006080).

112978632 is an abundant number, since it is smaller than the sum of its proper divisors (201033528).

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

112978632 is a wasteful number, since it uses less digits than its factorization.

112978632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11734 (or 11730 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 112978632 is about 10629.1406990405. The cubic root of 112978632 is about 483.4283371975.

The spelling of 112978632 in words is "one hundred twelve million, nine hundred seventy-eight thousand, six hundred thirty-two".