112968432 has 100 divisors (see below), whose sum is σ = 332098536. Its totient is φ = 37065600.

The previous prime is 112968409. The next prime is 112968461. The reversal of 112968432 is 234869211.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86182 + ... + 87482.

Almost surely, 2^112968432 is an apocalyptic number.

112968432 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 112968432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166049268).

112968432 is an abundant number, since it is smaller than the sum of its proper divisors (219130104).

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

112968432 is a wasteful number, since it uses less digits than its factorization.

112968432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1373 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 112968432 is about 10628.6608751997. The cubic root of 112968432 is about 483.4137883772.

The spelling of 112968432 in words is "one hundred twelve million, nine hundred sixty-eight thousand, four hundred thirty-two".