112464040 has 64 divisors (see below), whose sum is σ = 286876800. Its totient is φ = 39336192.

The previous prime is 112464017. The next prime is 112464067. The reversal of 112464040 is 40464211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4189 + ... + 15571.

It is an arithmetic number, because the mean of its divisors is an integer number (4482450).

Almost surely, 2^112464040 is an apocalyptic number.

112464040 is a gapful number since it is divisible by the number (10) 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 112464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143438400).

112464040 is an abundant number, since it is smaller than the sum of its proper divisors (174412760).

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

112464040 is a wasteful number, since it uses less digits than its factorization.

112464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11426 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 112464040 is about 10604.9064116568. The cubic root of 112464040 is about 482.6932512685.

The spelling of 112464040 in words is "one hundred twelve million, four hundred sixty-four thousand, forty".