111564240 has 80 divisors (see below), whose sum is σ = 347977728. Its totient is φ = 29567488.

The previous prime is 111564223. The next prime is 111564281. The reversal of 111564240 is 42465111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 111564240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40177 + ... + 42863.

Almost surely, 2^111564240 is an apocalyptic number.

111564240 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 111564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173988864).

111564240 is an abundant number, since it is smaller than the sum of its proper divisors (236413488).

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

111564240 is a wasteful number, since it uses less digits than its factorization.

111564240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 111564240 is about 10562.3974551235. The cubic root of 111564240 is about 481.4024953287.

The spelling of 111564240 in words is "one hundred eleven million, five hundred sixty-four thousand, two hundred forty".