112567680 has 96 divisors (see below), whose sum is σ = 388730160. Its totient is φ = 30016512.

The previous prime is 112567667. The next prime is 112567691. The reversal of 112567680 is 86765211.

112567680 is a `hidden beast` number, since 1 + 12 + 567 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4012 + ... + 15531.

Almost surely, 2^112567680 is an apocalyptic number.

112567680 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 112567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194365080).

112567680 is an abundant number, since it is smaller than the sum of its proper divisors (276162480).

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

112567680 is a wasteful number, since it uses less digits than its factorization.

112567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19568 (or 19553 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 112567680 is about 10609.7917038932. The cubic root of 112567680 is about 482.8414792987.

The spelling of 112567680 in words is "one hundred twelve million, five hundred sixty-seven thousand, six hundred eighty".