111296664 has 96 divisors (see below), whose sum is σ = 314776800. Its totient is φ = 35481600.

The previous prime is 111296659. The next prime is 111296687. The reversal of 111296664 is 466692111.

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

It is a nude number because it is divisible by every one of its digits.

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, 315112 + ... + 315464.

It is an arithmetic number, because the mean of its divisors is an integer number (3278925).

Almost surely, 2^111296664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111296664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157388400).

111296664 is an abundant number, since it is smaller than the sum of its proper divisors (203480136).

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

111296664 is a wasteful number, since it uses less digits than its factorization.

111296664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 111296664 is about 10549.7234086966. The cubic root of 111296664 is about 481.0173215120.

The spelling of 111296664 in words is "one hundred eleven million, two hundred ninety-six thousand, six hundred sixty-four".