111791940 has 96 divisors (see below), whose sum is σ = 338894976. Its totient is φ = 27371520.

The previous prime is 111791909. The next prime is 111791957. The reversal of 111791940 is 49197111.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257964 + ... + 258396.

It is an arithmetic number, because the mean of its divisors is an integer number (3530156).

Almost surely, 2^111791940 is an apocalyptic number.

111791940 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 111791940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169447488).

111791940 is an abundant number, since it is smaller than the sum of its proper divisors (227103036).

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

111791940 is a wasteful number, since it uses less digits than its factorization.

111791940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 33.

The square root of 111791940 is about 10573.1707637775. The cubic root of 111791940 is about 481.7297831720.

The spelling of 111791940 in words is "one hundred eleven million, seven hundred ninety-one thousand, nine hundred forty".