18012800 has 96 divisors (see below), whose sum is σ = 48030780. Its totient is φ = 6635520.

The previous prime is 18012793. The next prime is 18012847. The reversal of 18012800 is 821081.

It can be written as a sum of positive squares in 6 ways, for example, as 906304 + 17106496 = 952^2 + 4136^2 .

It is a super-3 number, since 3×18012800³ (a number of 23 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 41384 + ... + 41816.

Almost surely, 2^18012800 is an apocalyptic number.

18012800 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 18012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24015390).

18012800 is an abundant number, since it is smaller than the sum of its proper divisors (30017980).

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

18012800 is a wasteful number, since it uses less digits than its factorization.

18012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 18012800 is about 4244.1489135043. The cubic root of 18012800 is about 262.1362459792.

Adding to 18012800 its reverse (821081), we get a palindrome (18833881).

The spelling of 18012800 in words is "eighteen million, twelve thousand, eight hundred".