111864960 has 96 divisors (see below), whose sum is σ = 386303580. Its totient is φ = 29829120.

The previous prime is 111864943. The next prime is 111864983. The reversal of 111864960 is 69468111.

It is a happy number.

111864960 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 6843456 = 10248^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3951 + ... + 15470.

Almost surely, 2^111864960 is an apocalyptic number.

111864960 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 111864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193151790).

111864960 is an abundant number, since it is smaller than the sum of its proper divisors (274438620).

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

111864960 is a wasteful number, since it uses less digits than its factorization.

111864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19446 (or 19431 counting only the distinct ones).

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

The square root of 111864960 is about 10576.6232796673. The cubic root of 111864960 is about 481.8346453915.

The spelling of 111864960 in words is "one hundred eleven million, eight hundred sixty-four thousand, nine hundred sixty".