112591680 has 112 divisors (see below), whose sum is σ = 378561600. Its totient is φ = 28254208.

The previous prime is 112591667. The next prime is 112591709. The reversal of 112591680 is 86195211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12871 + ... + 19769.

Almost surely, 2^112591680 is an apocalyptic number.

112591680 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 112591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189280800).

112591680 is an abundant number, since it is smaller than the sum of its proper divisors (265969920).

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

112591680 is a wasteful number, since it uses less digits than its factorization.

112591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 112591680 is about 10610.9226743012. The cubic root of 112591680 is about 482.8757916106.

The spelling of 112591680 in words is "one hundred twelve million, five hundred ninety-one thousand, six hundred eighty".