111888640 has 72 divisors (see below), whose sum is σ = 272591928. Its totient is φ = 43991040.

The previous prime is 111888617. The next prime is 111888643. The reversal of 111888640 is 46888111.

It can be written as a sum of positive squares in 4 ways, for example, as 4393216 + 107495424 = 2096^2 + 10368^2 .

It is a super-2 number, since 2×111888640² = 25038135522099200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111888640.

It is not an unprimeable number, because it can be changed into a prime (111888643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77364 + ... + 78796.

It is an arithmetic number, because the mean of its divisors is an integer number (3785999).

Almost surely, 2^111888640 is an apocalyptic number.

111888640 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 111888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136295964).

111888640 is an abundant number, since it is smaller than the sum of its proper divisors (160703288).

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

111888640 is an equidigital number, since it uses as much as digits as its factorization.

111888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The square root of 111888640 is about 10577.7426703432. The cubic root of 111888640 is about 481.8686418559.

The spelling of 111888640 in words is "one hundred eleven million, eight hundred eighty-eight thousand, six hundred forty".