111885840 has 320 divisors, whose sum is σ = 446757120. Its totient is φ = 25436160.

The previous prime is 111885827. The next prime is 111885863. The reversal of 111885840 is 48588111.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111885795 and 111885804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403782 + ... + 404058.

It is an arithmetic number, because the mean of its divisors is an integer number (1396116).

Almost surely, 2^111885840 is an apocalyptic number.

111885840 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 111885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223378560).

111885840 is an abundant number, since it is smaller than the sum of its proper divisors (334871280).

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

111885840 is a wasteful number, since it uses less digits than its factorization.

111885840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 111885840 is about 10577.6103161347. The cubic root of 111885840 is about 481.8646222538.

The spelling of 111885840 in words is "one hundred eleven million, eight hundred eighty-five thousand, eight hundred forty".