112590240 has 144 divisors (see below), whose sum is σ = 412648992. Its totient is φ = 25729536.

The previous prime is 112590229. The next prime is 112590253. The reversal of 112590240 is 42095211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112590240.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21127 + ... + 25913.

It is an arithmetic number, because the mean of its divisors is an integer number (2865618).

Almost surely, 2^112590240 is an apocalyptic number.

112590240 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 112590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206324496).

112590240 is an abundant number, since it is smaller than the sum of its proper divisors (300058752).

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

112590240 is a wasteful number, since it uses less digits than its factorization.

112590240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 112590240 is about 10610.8548194761. The cubic root of 112590240 is about 482.8737330094.

The spelling of 112590240 in words is "one hundred twelve million, five hundred ninety thousand, two hundred forty".