111983616 has 132 divisors (see below), whose sum is σ = 335298600. Its totient is φ = 35954688.

The previous prime is 111983611. The next prime is 111983633. The reversal of 111983616 is 616389111.

It is a happy number.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (111983611) by changing a digit.

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, 267055 + ... + 267473.

Almost surely, 2^111983616 is an apocalyptic number.

111983616 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 111983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167649300).

111983616 is an abundant number, since it is smaller than the sum of its proper divisors (223314984).

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

111983616 is a wasteful number, since it uses less digits than its factorization.

111983616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 453 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 111983616 is about 10582.2311447067. The cubic root of 111983616 is about 482.0049470633.

The spelling of 111983616 in words is "one hundred eleven million, nine hundred eighty-three thousand, six hundred sixteen".