18006401 has 16 divisors (see below), whose sum is σ = 21713664. Its totient is φ = 14598144.

The previous prime is 18006389. The next prime is 18006413. The reversal of 18006401 is 10460081.

It is an interprime number because it is at equal distance from previous prime (18006389) and next prime (18006413).

It is a cyclic number.

It is not a de Polignac number, because 18006401 - 2⁶ = 18006337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18006431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15041 + ... + 16193.

It is an arithmetic number, because the mean of its divisors is an integer number (1357104).

Almost surely, 2^18006401 is an apocalyptic number.

It is an amenable number.

18006401 is a deficient number, since it is larger than the sum of its proper divisors (3707263).

18006401 is a wasteful number, since it uses less digits than its factorization.

18006401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 18006401 is about 4243.3949851505. The cubic root of 18006401 is about 262.1052012312.

Adding to 18006401 its reverse (10460081), we get a palindrome (28466482).

The spelling of 18006401 in words is "eighteen million, six thousand, four hundred one".