111820940 has 216 divisors, whose sum is σ = 320949216. Its totient is φ = 32524800.

The previous prime is 111820939. The next prime is 111820949. The reversal of 111820940 is 49028111.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (111820949) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2727320 + ... + 2727360.

It is an arithmetic number, because the mean of its divisors is an integer number (1485876).

Almost surely, 2^111820940 is an apocalyptic number.

111820940 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 111820940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160474608).

111820940 is an abundant number, since it is smaller than the sum of its proper divisors (209128276).

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

111820940 is a wasteful number, since it uses less digits than its factorization.

111820940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 111820940 is about 10574.5420704634. The cubic root of 111820940 is about 481.7714348208.

The spelling of 111820940 in words is "one hundred eleven million, eight hundred twenty thousand, nine hundred forty".