111826944 has 72 divisors (see below), whose sum is σ = 323029980. Its totient is φ = 37269504.

The previous prime is 111826921. The next prime is 111826991. The reversal of 111826944 is 449628111.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111826899 and 111826908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15399 + ... + 21465.

Almost surely, 2^111826944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111826944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161514990).

111826944 is an abundant number, since it is smaller than the sum of its proper divisors (211203036).

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

111826944 is an equidigital number, since it uses as much as digits as its factorization.

111826944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095 (or 6072 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 111826944 is about 10574.8259560146. The cubic root of 111826944 is about 481.7800572486.

The spelling of 111826944 in words is "one hundred eleven million, eight hundred twenty-six thousand, nine hundred forty-four".