18001600 has 42 divisors (see below), whose sum is σ = 44299124. Its totient is φ = 7200000.

The previous prime is 18001597. The next prime is 18001601. The reversal of 18001600 is 610081.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (18001601) 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, 4026 + ... + 7225.

Almost surely, 2^18001600 is an apocalyptic number.

18001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18001600 is an abundant number, since it is smaller than the sum of its proper divisors (26297524).

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

18001600 is a wasteful number, since it uses less digits than its factorization.

18001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11273 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 18001600 is about 4242.8292447375. The cubic root of 18001600 is about 262.0819043505.

Adding to 18001600 its reverse (610081), we get a palindrome (18611681).

The spelling of 18001600 in words is "eighteen million, one thousand, six hundred".