111271680 has 216 divisors, whose sum is σ = 415160928. Its totient is φ = 27353088.

The previous prime is 111271649. The next prime is 111271687. The reversal of 111271680 is 86172111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111271687) 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, 149389 + ... + 150131.

Almost surely, 2^111271680 is an apocalyptic number.

111271680 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 111271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207580464).

111271680 is an abundant number, since it is smaller than the sum of its proper divisors (303889248).

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

111271680 is a wasteful number, since it uses less digits than its factorization.

111271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 111271680 is about 10548.5392353633. The cubic root of 111271680 is about 480.9813257158.

The spelling of 111271680 in words is "one hundred eleven million, two hundred seventy-one thousand, six hundred eighty".