112896432 has 120 divisors (see below), whose sum is σ = 347263488. Its totient is φ = 33955200.

The previous prime is 112896419. The next prime is 112896437. The reversal of 112896432 is 234698211.

112896432 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 9 + 643 + 2 = 666.

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 not an unprimeable number, because it can be changed into a prime (112896437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416457 + ... + 416727.

Almost surely, 2^112896432 is an apocalyptic number.

112896432 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 112896432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744).

112896432 is an abundant number, since it is smaller than the sum of its proper divisors (234367056).

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

112896432 is a wasteful number, since it uses less digits than its factorization.

112896432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

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

The square root of 112896432 is about 10625.2732670741. The cubic root of 112896432 is about 483.3110659050.

The spelling of 112896432 in words is "one hundred twelve million, eight hundred ninety-six thousand, four hundred thirty-two".