112865040 has 120 divisors (see below), whose sum is σ = 401378328. Its totient is φ = 28323840.

The previous prime is 112865033. The next prime is 112865069. The reversal of 112865040 is 40568211.

112865040 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 650 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 64256256 = 6972^2 + 8016^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 112864995 and 112865013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7630 + ... + 16850.

Almost surely, 2^112865040 is an apocalyptic number.

112865040 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 112865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200689164).

112865040 is an abundant number, since it is smaller than the sum of its proper divisors (288513288).

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

112865040 is a wasteful number, since it uses less digits than its factorization.

112865040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9257 (or 9248 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112865040 is about 10623.7959317750. The cubic root of 112865040 is about 483.2662652348.

The spelling of 112865040 in words is "one hundred twelve million, eight hundred sixty-five thousand, forty".