18506400 has 144 divisors (see below), whose sum is σ = 65808288. Its totient is φ = 4480000.

The previous prime is 18506351. The next prime is 18506407. The reversal of 18506400 is 460581.

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

It is not an unprimeable number, because it can be changed into a prime (18506407) 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, 26050 + ... + 26750.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 2^18506400 is an apocalyptic number.

18506400 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 18506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904144).

18506400 is an abundant number, since it is smaller than the sum of its proper divisors (47301888).

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

18506400 is a wasteful number, since it uses less digits than its factorization.

18506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 18506400 is about 4301.9065540758. The cubic root of 18506400 is about 264.5091185543.

Adding to 18506400 its reverse (460581), we get a palindrome (18966981).

The spelling of 18506400 in words is "eighteen million, five hundred six thousand, four hundred".