111087680 has 168 divisors, whose sum is σ = 308091840. Its totient is φ = 38016000.

The previous prime is 111087659. The next prime is 111087689. The reversal of 111087680 is 86780111.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (111087689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735605 + ... + 735755.

It is an arithmetic number, because the mean of its divisors is an integer number (1833880).

Almost surely, 2^111087680 is an apocalyptic number.

111087680 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 111087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154045920).

111087680 is an abundant number, since it is smaller than the sum of its proper divisors (197004160).

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

111087680 is a wasteful number, since it uses less digits than its factorization.

111087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The square root of 111087680 is about 10539.8140401053. The cubic root of 111087680 is about 480.7160608835.

The spelling of 111087680 in words is "one hundred eleven million, eighty-seven thousand, six hundred eighty".