111998040 has 512 divisors, whose sum is σ = 477757440. Its totient is φ = 20275200.

The previous prime is 111998021. The next prime is 111998041. The reversal of 111998040 is 40899111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 111997992 and 111998010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111998041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3612825 + ... + 3612855.

It is an arithmetic number, because the mean of its divisors is an integer number (933120).

Almost surely, 2^111998040 is an apocalyptic number.

111998040 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 111998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238878720).

111998040 is an abundant number, since it is smaller than the sum of its proper divisors (365759400).

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

111998040 is a wasteful number, since it uses less digits than its factorization.

111998040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 111998040 is about 10582.9126425573. The cubic root of 111998040 is about 482.0256409860.

The spelling of 111998040 in words is "one hundred eleven million, nine hundred ninety-eight thousand, forty".