112385640 has 128 divisors (see below), whose sum is σ = 361584000. Its totient is φ = 27844608.

The previous prime is 112385593. The next prime is 112385641. The reversal of 112385640 is 46583211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112385598 and 112385607.

It is not an unprimeable number, because it can be changed into a prime (112385641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181251 + ... + 181869.

It is an arithmetic number, because the mean of its divisors is an integer number (2824875).

Almost surely, 2^112385640 is an apocalyptic number.

112385640 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 112385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792000).

112385640 is an abundant number, since it is smaller than the sum of its proper divisors (249198360).

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

112385640 is a wasteful number, since it uses less digits than its factorization.

112385640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 112385640 is about 10601.2093649734. The cubic root of 112385640 is about 482.5810614878.

The spelling of 112385640 in words is "one hundred twelve million, three hundred eighty-five thousand, six hundred forty".