13663000 has 64 divisors (see below), whose sum is σ = 34463520. Its totient is φ = 5040000.

The previous prime is 13662983. The next prime is 13663009. The reversal of 13663000 is 36631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13663009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12475 + ... + 13525.

Almost surely, 2^13663000 is an apocalyptic number.

13663000 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 13663000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231760).

13663000 is an abundant number, since it is smaller than the sum of its proper divisors (20800520).

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

13663000 is a wasteful number, since it uses less digits than its factorization.

13663000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 13663000 is about 3696.3495505701. The cubic root of 13663000 is about 239.0646464130.

Adding to 13663000 its reverse (36631), we get a palindrome (13699631).

It can be divided in two parts, 136 and 63000, that added together give a palindrome (63136).

The spelling of 13663000 in words is "thirteen million, six hundred sixty-three thousand".