111682944 has 96 divisors (see below), whose sum is σ = 332560800. Its totient is φ = 35933184.

The previous prime is 111682939. The next prime is 111682957. The reversal of 111682944 is 449286111.

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 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 = 111682899 and 111682908.

It is a congruent number.

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, 31737 + ... + 35079.

It is an arithmetic number, because the mean of its divisors is an integer number (3464175).

Almost surely, 2^111682944 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 111682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166280400).

111682944 is an abundant number, since it is smaller than the sum of its proper divisors (220877856).

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

111682944 is a wasteful number, since it uses less digits than its factorization.

111682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3377 counting only the distinct ones).

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

The square root of 111682944 is about 10568.0151400346. The cubic root of 111682944 is about 481.5731717229.

The spelling of 111682944 in words is "one hundred eleven million, six hundred eighty-two thousand, nine hundred forty-four".