111990816 has 96 divisors (see below), whose sum is σ = 373322880. Its totient is φ = 31995648.

The previous prime is 111990799. The next prime is 111990863. The reversal of 111990816 is 618099111.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3211 + ... + 15306.

It is an arithmetic number, because the mean of its divisors is an integer number (3888780).

Almost surely, 2^111990816 is an apocalyptic number.

111990816 is a gapful number since it is divisible by the number (16) 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 111990816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186661440).

111990816 is an abundant number, since it is smaller than the sum of its proper divisors (261332064).

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

111990816 is a wasteful number, since it uses less digits than its factorization.

111990816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18543 (or 18529 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The square root of 111990816 is about 10582.5713321480. The cubic root of 111990816 is about 482.0152770305.

The spelling of 111990816 in words is "one hundred eleven million, nine hundred ninety thousand, eight hundred sixteen".