18326400 has 192 divisors, whose sum is σ = 63745920. Its totient is φ = 4618240.

The previous prime is 18326389. The next prime is 18326401. The reversal of 18326400 is 462381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18326401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220759 + ... + 220841.

It is an arithmetic number, because the mean of its divisors is an integer number (332010).

Almost surely, 2^18326400 is an apocalyptic number.

18326400 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 18326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

18326400 is an abundant number, since it is smaller than the sum of its proper divisors (45419520).

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

18326400 is a wasteful number, since it uses less digits than its factorization.

18326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 18326400 is about 4280.9344774243. The cubic root of 18326400 is about 263.6487523454.

Adding to 18326400 its reverse (462381), we get a palindrome (18788781).

The spelling of 18326400 in words is "eighteen million, three hundred twenty-six thousand, four hundred".