112605840 has 120 divisors (see below), whose sum is σ = 391280760. Its totient is φ = 28987392.

The previous prime is 112605839. The next prime is 112605853. The reversal of 112605840 is 48506211.

112605840 is a `hidden beast` number, since 1 + 12 + 605 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37748736 + 74857104 = 6144^2 + 8652^2 .

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

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, 18184 + ... + 23576.

It is an arithmetic number, because the mean of its divisors is an integer number (3260673).

Almost surely, 2^112605840 is an apocalyptic number.

112605840 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 112605840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195640380).

112605840 is an abundant number, since it is smaller than the sum of its proper divisors (278674920).

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

112605840 is a wasteful number, since it uses less digits than its factorization.

112605840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5432 counting only the distinct ones).

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

The square root of 112605840 is about 10611.5898903039. The cubic root of 112605840 is about 482.8960335876.

The spelling of 112605840 in words is "one hundred twelve million, six hundred five thousand, eight hundred forty".