112378160 has 80 divisors (see below), whose sum is σ = 291276000. Its totient is φ = 40071168.

The previous prime is 112378157. The next prime is 112378187. The reversal of 112378160 is 61873211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23666 + ... + 28014.

It is an arithmetic number, because the mean of its divisors is an integer number (3640950).

It is the magic constant of a 608 × 608 magic square.

Almost surely, 2^112378160 is an apocalyptic number.

112378160 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 112378160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145638000).

112378160 is an abundant number, since it is smaller than the sum of its proper divisors (178897840).

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

112378160 is a wasteful number, since it uses less digits than its factorization.

112378160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 112378160 is about 10600.8565691646. The cubic root of 112378160 is about 482.5703549408.

The spelling of 112378160 in words is "one hundred twelve million, three hundred seventy-eight thousand, one hundred sixty".