18162400 has 72 divisors (see below), whose sum is σ = 45090864. Its totient is φ = 7142400.

The previous prime is 18162359. The next prime is 18162413. The reversal of 18162400 is 426181.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 58245 + ... + 58555.

It is an arithmetic number, because the mean of its divisors is an integer number (626262).

Almost surely, 2^18162400 is an apocalyptic number.

18162400 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 18162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22545432).

18162400 is an abundant number, since it is smaller than the sum of its proper divisors (26928464).

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

18162400 is a wasteful number, since it uses less digits than its factorization.

18162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 18162400 is about 4261.7367351820. The cubic root of 18162400 is about 262.8599446096.

Adding to 18162400 its reverse (426181), we get a palindrome (18588581).

The spelling of 18162400 in words is "eighteen million, one hundred sixty-two thousand, four hundred".