112424832 has 96 divisors (see below), whose sum is σ = 348446280. Its totient is φ = 34587648.

The previous prime is 112424831. The next prime is 112424839. The reversal of 112424832 is 238424211.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 112424796 and 112424805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112424831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11223 + ... + 18729.

Almost surely, 2^112424832 is an apocalyptic number.

112424832 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 112424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174223140).

112424832 is an abundant number, since it is smaller than the sum of its proper divisors (236021448).

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

112424832 is a wasteful number, since it uses less digits than its factorization.

112424832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7525 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 112424832 is about 10603.0576722000. The cubic root of 112424832 is about 482.6371514499.

The spelling of 112424832 in words is "one hundred twelve million, four hundred twenty-four thousand, eight hundred thirty-two".