112823424 has 192 divisors, whose sum is σ = 393344640. Its totient is φ = 30302208.

The previous prime is 112823423. The next prime is 112823449. The reversal of 112823424 is 424328211.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112823423) by changing a digit.

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, 136677 + ... + 137499.

It is an arithmetic number, because the mean of its divisors is an integer number (2048670).

Almost surely, 2^112823424 is an apocalyptic number.

112823424 is a gapful number since it is divisible by the number (14) 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 112823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196672320).

112823424 is an abundant number, since it is smaller than the sum of its proper divisors (280521216).

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

112823424 is a wasteful number, since it uses less digits than its factorization.

112823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

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

The square root of 112823424 is about 10621.8371292352. The cubic root of 112823424 is about 483.2068607128.

It can be divided in two parts, 11282 and 3424, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 112823424 in words is "one hundred twelve million, eight hundred twenty-three thousand, four hundred twenty-four".