111855040 has 112 divisors (see below), whose sum is σ = 297728640. Its totient is φ = 39674880.

The previous prime is 111854999. The next prime is 111855041. The reversal of 111855040 is 40558111.

111855040 = 1399² + 1400² + ... + 1453².

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111854996 and 111855014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111855041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150991 + ... + 151729.

Almost surely, 2^111855040 is an apocalyptic number.

111855040 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 111855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148864320).

111855040 is an abundant number, since it is smaller than the sum of its proper divisors (185873600).

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

111855040 is a wasteful number, since it uses less digits than its factorization.

111855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The square root of 111855040 is about 10576.1543105233. The cubic root of 111855040 is about 481.8204022034.

The spelling of 111855040 in words is "one hundred eleven million, eight hundred fifty-five thousand, forty".