18164000 has 96 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 6854400.

The previous prime is 18163987. The next prime is 18164011. The reversal of 18164000 is 46181.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 75881 + ... + 76119.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^18164000 is an apocalyptic number.

18164000 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 18164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

18164000 is an abundant number, since it is smaller than the sum of its proper divisors (29010400).

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

18164000 is a wasteful number, since it uses less digits than its factorization.

18164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 18164000 is about 4261.9244479460. The cubic root of 18164000 is about 262.8676631850.

The spelling of 18164000 in words is "eighteen million, one hundred sixty-four thousand".