18026400 has 288 divisors, whose sum is σ = 71245440. Its totient is φ = 3870720.

The previous prime is 18026399. The next prime is 18026423. The reversal of 18026400 is 462081.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487182 + ... + 487218.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 2^18026400 is an apocalyptic number.

18026400 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 18026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

18026400 is an abundant number, since it is smaller than the sum of its proper divisors (53219040).

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

18026400 is a wasteful number, since it uses less digits than its factorization.

18026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 18026400 is about 4245.7508169934. The cubic root of 18026400 is about 262.2022019678.

Adding to 18026400 its reverse (462081), we get a palindrome (18488481).

The spelling of 18026400 in words is "eighteen million, twenty-six thousand, four hundred".