111724416 has 96 divisors (see below), whose sum is σ = 323570520. Its totient is φ = 37002240.

The previous prime is 111724399. The next prime is 111724421. The reversal of 111724416 is 614427111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 111724416.

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 11 ways as a sum of consecutive naturals, for example, 337371 + ... + 337701.

Almost surely, 2^111724416 is an apocalyptic number.

111724416 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 111724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161785260).

111724416 is an abundant number, since it is smaller than the sum of its proper divisors (211846104).

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

111724416 is a wasteful number, since it uses less digits than its factorization.

111724416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 111724416 is about 10569.9771049894. The cubic root of 111724416 is about 481.6327729783.

The spelling of 111724416 in words is "one hundred eleven million, seven hundred twenty-four thousand, four hundred sixteen".