111987936 has 72 divisors (see below), whose sum is σ = 319488624. Its totient is φ = 37209600.

The previous prime is 111987923. The next prime is 111987973. The reversal of 111987936 is 639789111.

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

It is a junction number, because it is equal to n+sod(n) for n = 111987891 and 111987900.

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, 172765 + ... + 173411.

It is an arithmetic number, because the mean of its divisors is an integer number (4437342).

Almost surely, 2^111987936 is an apocalyptic number.

111987936 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 111987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159744312).

111987936 is an abundant number, since it is smaller than the sum of its proper divisors (207500688).

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

111987936 is a wasteful number, since it uses less digits than its factorization.

111987936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 111987936 is about 10582.4352584837. The cubic root of 111987936 is about 482.0111450968.

The spelling of 111987936 in words is "one hundred eleven million, nine hundred eighty-seven thousand, nine hundred thirty-six".