18867120 has 80 divisors (see below), whose sum is σ = 59043840. Its totient is φ = 4983552.

The previous prime is 18867113. The next prime is 18867131. The reversal of 18867120 is 2176881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30171 + ... + 30789.

It is an arithmetic number, because the mean of its divisors is an integer number (738048).

Almost surely, 2^18867120 is an apocalyptic number.

18867120 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 18867120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29521920).

18867120 is an abundant number, since it is smaller than the sum of its proper divisors (40176720).

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

18867120 is a wasteful number, since it uses less digits than its factorization.

18867120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 18867120 is about 4343.6298184813. The cubic root of 18867120 is about 266.2166437527.

The spelling of 18867120 in words is "eighteen million, eight hundred sixty-seven thousand, one hundred twenty".