111248640 has 360 divisors, whose sum is σ = 422924040. Its totient is φ = 27869184.

The previous prime is 111248639. The next prime is 111248701. The reversal of 111248640 is 46842111.

It is a happy number.

111248640 is a `hidden beast` number, since 1 + 1 + 12 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 79709184 = 5616^2 + 8928^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3006702 + ... + 3006738.

It is an arithmetic number, because the mean of its divisors is an integer number (1174789).

Almost surely, 2^111248640 is an apocalyptic number.

111248640 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 111248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211462020).

111248640 is an abundant number, since it is smaller than the sum of its proper divisors (311675400).

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

111248640 is an equidigital number, since it uses as much as digits as its factorization.

111248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 111248640 is about 10547.4470844845. The cubic root of 111248640 is about 480.9481259693.

The spelling of 111248640 in words is "one hundred eleven million, two hundred forty-eight thousand, six hundred forty".