112679424 has 400 divisors, whose sum is σ = 415910880. Its totient is φ = 29859840.

The previous prime is 112679423. The next prime is 112679449. The reversal of 112679424 is 424976211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (24192) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (112679423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5930487 + ... + 5930505.

Almost surely, 2^112679424 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 112679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207955440).

112679424 is an abundant number, since it is smaller than the sum of its proper divisors (303231456).

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

112679424 is a wasteful number, since it uses less digits than its factorization.

112679424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 112679424 is about 10615.0564765337. The cubic root of 112679424 is about 483.0011959386.

The spelling of 112679424 in words is "one hundred twelve million, six hundred seventy-nine thousand, four hundred twenty-four".