18714000 has 80 divisors (see below), whose sum is σ = 60353280. Its totient is φ = 4988800.

The previous prime is 18713963. The next prime is 18714011. The reversal of 18714000 is 41781.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4441 + ... + 7559.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 2^18714000 is an apocalyptic number.

18714000 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 18714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30176640).

18714000 is an abundant number, since it is smaller than the sum of its proper divisors (41639280).

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

18714000 is a wasteful number, since it uses less digits than its factorization.

18714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 18714000 is about 4325.9680997437. The cubic root of 18714000 is about 265.4945079921.

Adding to 18714000 its reverse (41781), we get a palindrome (18755781).

The spelling of 18714000 in words is "eighteen million, seven hundred fourteen thousand".