18564500 has 48 divisors (see below), whose sum is σ = 41041728. Its totient is φ = 7335200.

The previous prime is 18564499. The next prime is 18564503. The reversal of 18564500 is 546581.

It is a happy number.

It is a super-3 number, since 3×18564500³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18564503) by changing a digit.

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, 53327 + ... + 53673.

It is an arithmetic number, because the mean of its divisors is an integer number (855036).

Almost surely, 2^18564500 is an apocalyptic number.

18564500 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 18564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520864).

18564500 is an abundant number, since it is smaller than the sum of its proper divisors (22477228).

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

18564500 is a wasteful number, since it uses less digits than its factorization.

18564500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 18564500 is about 4308.6540821932. The cubic root of 18564500 is about 264.7856341637.

The spelling of 18564500 in words is "eighteen million, five hundred sixty-four thousand, five hundred".