111779424 has 72 divisors (see below), whose sum is σ = 319678632. Its totient is φ = 37048320.

The previous prime is 111779401. The next prime is 111779443. The reversal of 111779424 is 424977111.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54579 + ... + 56589.

It is an arithmetic number, because the mean of its divisors is an integer number (4439981).

Almost surely, 2^111779424 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 111779424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159839316).

111779424 is an abundant number, since it is smaller than the sum of its proper divisors (207899208).

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

111779424 is a wasteful number, since it uses less digits than its factorization.

111779424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2209 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 111779424 is about 10572.5788717796. The cubic root of 111779424 is about 481.7118046696.

The spelling of 111779424 in words is "one hundred eleven million, seven hundred seventy-nine thousand, four hundred twenty-four".