18700864 has 112 divisors (see below), whose sum is σ = 48361600. Its totient is φ = 7008768.

The previous prime is 18700861. The next prime is 18700889. The reversal of 18700864 is 46800781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (18700861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984247 + ... + 984265.

It is an arithmetic number, because the mean of its divisors is an integer number (431800).

Almost surely, 2^18700864 is an apocalyptic number.

18700864 is a gapful number since it is divisible by the number (14) 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 18700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24180800).

18700864 is an abundant number, since it is smaller than the sum of its proper divisors (29660736).

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

18700864 is an equidigital number, since it uses as much as digits as its factorization.

18700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 18700864 is about 4324.4495603487. The cubic root of 18700864 is about 265.4323735441.

The spelling of 18700864 in words is "eighteen million, seven hundred thousand, eight hundred sixty-four".