111579660 has 96 divisors (see below), whose sum is σ = 350085120. Its totient is φ = 29502144.

The previous prime is 111579659. The next prime is 111579691. The reversal of 111579660 is 66975111.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67767 + ... + 69393.

It is an arithmetic number, because the mean of its divisors is an integer number (3646720).

Almost surely, 2^111579660 is an apocalyptic number.

111579660 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 111579660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175042560).

111579660 is an abundant number, since it is smaller than the sum of its proper divisors (238505460).

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

111579660 is a wasteful number, since it uses less digits than its factorization.

111579660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 111579660 is about 10563.1273778176. The cubic root of 111579660 is about 481.4246735359.

The spelling of 111579660 in words is "one hundred eleven million, five hundred seventy-nine thousand, six hundred sixty".