111867840 has 336 divisors, whose sum is σ = 456468480. Its totient is φ = 24606720.

The previous prime is 111867827. The next prime is 111867841. The reversal of 111867840 is 48768111.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 111867795 and 111867804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111867841) 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, 624871 + ... + 625049.

Almost surely, 2^111867840 is an apocalyptic number.

111867840 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 111867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

111867840 is an abundant number, since it is smaller than the sum of its proper divisors (344600640).

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

111867840 is a wasteful number, since it uses less digits than its factorization.

111867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 111867840 is about 10576.7594281046. The cubic root of 111867840 is about 481.8387803528.

The spelling of 111867840 in words is "one hundred eleven million, eight hundred sixty-seven thousand, eight hundred forty".