111289680 has 160 divisors (see below), whose sum is σ = 389558400. Its totient is φ = 29196288.

The previous prime is 111289657. The next prime is 111289687. The reversal of 111289680 is 86982111.

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 (111289687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144336 + ... + 145104.

It is an arithmetic number, because the mean of its divisors is an integer number (2434740).

Almost surely, 2^111289680 is an apocalyptic number.

111289680 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 111289680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194779200).

111289680 is an abundant number, since it is smaller than the sum of its proper divisors (278268720).

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

111289680 is a wasteful number, since it uses less digits than its factorization.

111289680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 111289680 is about 10549.3923995650. The cubic root of 111289680 is about 481.0072598291.

The spelling of 111289680 in words is "one hundred eleven million, two hundred eighty-nine thousand, six hundred eighty".