111668040 has 192 divisors, whose sum is σ = 400645440. Its totient is φ = 26749440.

The previous prime is 111667987. The next prime is 111668047. The reversal of 111668040 is 40866111.

It is a junction number, because it is equal to n+sod(n) for n = 111667995 and 111668013.

It is not an unprimeable number, because it can be changed into a prime (111668047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645394 + ... + 645566.

It is an arithmetic number, because the mean of its divisors is an integer number (2086695).

Almost surely, 2^111668040 is an apocalyptic number.

111668040 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 111668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200322720).

111668040 is an abundant number, since it is smaller than the sum of its proper divisors (288977400).

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

111668040 is a wasteful number, since it uses less digits than its factorization.

111668040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 111668040 is about 10567.3099699025. The cubic root of 111668040 is about 481.5517489177.

It can be divided in two parts, 11 and 1668040, that added together give a triangular number (1668051 = T₁₈₂₆).

The spelling of 111668040 in words is "one hundred eleven million, six hundred sixty-eight thousand, forty".