111089664 has 288 divisors, whose sum is σ = 392137200. Its totient is φ = 30965760.

The previous prime is 111089659. The next prime is 111089677. The reversal of 111089664 is 466980111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709484 + ... + 2709524.

Almost surely, 2^111089664 is an apocalyptic number.

111089664 is a gapful number since it is divisible by the number (14) 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 111089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196068600).

111089664 is an abundant number, since it is smaller than the sum of its proper divisors (281047536).

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

111089664 is an equidigital number, since it uses as much as digits as its factorization.

111089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 111089664 is about 10539.9081589927. The cubic root of 111089664 is about 480.7189226919.

The spelling of 111089664 in words is "one hundred eleven million, eighty-nine thousand, six hundred sixty-four".