112824624 has 160 divisors (see below), whose sum is σ = 336549888. Its totient is φ = 32256000.

The previous prime is 112824623. The next prime is 112824629. The reversal of 112824624 is 426428211.

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 = 112824591 and 112824600.

It is not an unprimeable number, because it can be changed into a prime (112824623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998392 + ... + 998504.

Almost surely, 2^112824624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112824624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168274944).

112824624 is an abundant number, since it is smaller than the sum of its proper divisors (223725264).

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

112824624 is a wasteful number, since it uses less digits than its factorization.

112824624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 112824624 is about 10621.8936164885. The cubic root of 112824624 is about 483.2085738505.

It can be divided in two parts, 1128 and 24624, that added together give a palindrome (25752).

The spelling of 112824624 in words is "one hundred twelve million, eight hundred twenty-four thousand, six hundred twenty-four".