111856680 has 256 divisors, whose sum is σ = 416102400. Its totient is φ = 26542080.

The previous prime is 111856669. The next prime is 111856681. The reversal of 111856680 is 86658111.

111856680 is a `hidden beast` number, since 1 + 1 + 18 + 566 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111856681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435112 + ... + 435368.

It is an arithmetic number, because the mean of its divisors is an integer number (1625400).

Almost surely, 2^111856680 is an apocalyptic number.

111856680 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 111856680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208051200).

111856680 is an abundant number, since it is smaller than the sum of its proper divisors (304245720).

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

111856680 is a wasteful number, since it uses less digits than its factorization.

111856680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 111856680 is about 10576.2318431472. The cubic root of 111856680 is about 481.8227569821.

The spelling of 111856680 in words is "one hundred eleven million, eight hundred fifty-six thousand, six hundred eighty".