18208000 has 72 divisors (see below), whose sum is σ = 45438120. Its totient is φ = 7270400.

The previous prime is 18207997. The next prime is 18208007. The reversal of 18208000 is 80281.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2715904 + 15492096 = 1648^2 + 3936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18208007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31716 + ... + 32284.

It is an arithmetic number, because the mean of its divisors is an integer number (631085).

Almost surely, 2^18208000 is an apocalyptic number.

18208000 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 18208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719060).

18208000 is an abundant number, since it is smaller than the sum of its proper divisors (27230120).

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

18208000 is an frugal number, since it uses more digits than its factorization.

18208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 18208000 is about 4267.0833129903. The cubic root of 18208000 is about 263.0797466198.

Adding to 18208000 its reverse (80281), we get a palindrome (18288281).

The spelling of 18208000 in words is "eighteen million, two hundred eight thousand".