111640320 has 216 divisors, whose sum is σ = 421857072. Its totient is φ = 27033600.

The previous prime is 111640303. The next prime is 111640327. The reversal of 111640320 is 23046111.

It is a happy number.

111640320 is a `hidden beast` number, since 1 + 1 + 1 + 640 + 3 + 20 = 666.

It is a super-2 number, since 2×111640320² = 24927122099404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111640293 and 111640302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111640327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126280 + ... + 127160.

It is an arithmetic number, because the mean of its divisors is an integer number (1953042).

Almost surely, 2^111640320 is an apocalyptic number.

111640320 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 111640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210928536).

111640320 is an abundant number, since it is smaller than the sum of its proper divisors (310216752).

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

111640320 is a wasteful number, since it uses less digits than its factorization.

111640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 111640320 is about 10565.9982964223. The cubic root of 111640320 is about 481.5118994999.

Adding to 111640320 its reverse (23046111), we get a palindrome (134686431).

The spelling of 111640320 in words is "one hundred eleven million, six hundred forty thousand, three hundred twenty".