112465584 has 400 divisors, whose sum is σ = 432115200. Its totient is φ = 27941760.

The previous prime is 112465553. The next prime is 112465609. The reversal of 112465584 is 485564211.

It is a happy number.

112465584 is a `hidden beast` number, since 1 + 12 + 4 + 65 + 584 = 666.

It is a super-2 number, since 2×112465584² = 25297015168922112, which contains 22 as substring.

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

Its product of digits (38400) is a multiple of the sum of its prime factors (75).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4889797 + ... + 4889819.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 2^112465584 is an apocalyptic number.

112465584 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 112465584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

112465584 is an abundant number, since it is smaller than the sum of its proper divisors (319649616).

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

112465584 is a wasteful number, since it uses less digits than its factorization.

112465584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 112465584 is about 10604.9792079004. The cubic root of 112465584 is about 482.6954601967.

The spelling of 112465584 in words is "one hundred twelve million, four hundred sixty-five thousand, five hundred eighty-four".