111336960 has 320 divisors, whose sum is σ = 432115200. Its totient is φ = 23887872.

The previous prime is 111336919. The next prime is 111336983. The reversal of 111336960 is 69633111.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1021386 + ... + 1021494.

It is an arithmetic number, because the mean of its divisors is an integer number (1350360).

Almost surely, 2^111336960 is an apocalyptic number.

111336960 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 111336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

111336960 is an abundant number, since it is smaller than the sum of its proper divisors (320778240).

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

111336960 is a wasteful number, since it uses less digits than its factorization.

111336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 111336960 is about 10551.6330489645. The cubic root of 111336960 is about 481.0753667834.

The spelling of 111336960 in words is "one hundred eleven million, three hundred thirty-six thousand, nine hundred sixty".