112396824 has 96 divisors (see below), whose sum is σ = 322957440. Its totient is φ = 35251200.

The previous prime is 112396819. The next prime is 112396849. The reversal of 112396824 is 428693211.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81904 + ... + 83264.

It is an arithmetic number, because the mean of its divisors is an integer number (3364140).

Almost surely, 2^112396824 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 112396824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161478720).

112396824 is an abundant number, since it is smaller than the sum of its proper divisors (210560616).

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

112396824 is a wasteful number, since it uses less digits than its factorization.

112396824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1434 counting only the distinct ones).

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

The square root of 112396824 is about 10601.7368388392. The cubic root of 112396824 is about 482.5970688934.

The spelling of 112396824 in words is "one hundred twelve million, three hundred ninety-six thousand, eight hundred twenty-four".