111775680 has 224 divisors, whose sum is σ = 418063680. Its totient is φ = 28016640.

The previous prime is 111775669. The next prime is 111775681. The reversal of 111775680 is 86577111.

It is a happy number.

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 (111775681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146500 + ... + 147260.

Almost surely, 2^111775680 is an apocalyptic number.

111775680 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 111775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209031840).

111775680 is an abundant number, since it is smaller than the sum of its proper divisors (306288000).

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

111775680 is a wasteful number, since it uses less digits than its factorization.

111775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 111775680 is about 10572.4018084823. The cubic root of 111775680 is about 481.7064263717.

The spelling of 111775680 in words is "one hundred eleven million, seven hundred seventy-five thousand, six hundred eighty".