18342400 has 60 divisors (see below), whose sum is σ = 45476442. Its totient is φ = 7331840.

The previous prime is 18342367. The next prime is 18342403. The reversal of 18342400 is 424381.

It can be written as a sum of positive squares in 3 ways, for example, as 16128256 + 2214144 = 4016^2 + 1488^2 .

It is not an unprimeable number, because it can be changed into a prime (18342403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12084 + ... + 13516.

Almost surely, 2^18342400 is an apocalyptic number.

18342400 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 18342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22738221).

18342400 is an abundant number, since it is smaller than the sum of its proper divisors (27134042).

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

18342400 is an equidigital number, since it uses as much as digits as its factorization.

18342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 18342400 is about 4282.8028205837. The cubic root of 18342400 is about 263.7254568628.

Adding to 18342400 its reverse (424381), we get a palindrome (18766781).

The spelling of 18342400 in words is "eighteen million, three hundred forty-two thousand, four hundred".