111938960 has 80 divisors (see below), whose sum is σ = 303837696. Its totient is φ = 37553664.

The previous prime is 111938941. The next prime is 111938963. The reversal of 111938960 is 69839111.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (111938963) 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 15 ways as a sum of consecutive naturals, for example, 24194 + ... + 28446.

Almost surely, 2^111938960 is an apocalyptic number.

111938960 is a gapful number since it is divisible by the number (10) 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 111938960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151918848).

111938960 is an abundant number, since it is smaller than the sum of its proper divisors (191898736).

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

111938960 is a wasteful number, since it uses less digits than its factorization.

111938960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 111938960 is about 10580.1209822951. The cubic root of 111938960 is about 481.9408684197.

The spelling of 111938960 in words is "one hundred eleven million, nine hundred thirty-eight thousand, nine hundred sixty".