13633668 has 18 divisors (see below), whose sum is σ = 34462974. Its totient is φ = 4544544.

The previous prime is 13633637. The next prime is 13633673. The reversal of 13633668 is 86633631.

13633668 is a `hidden beast` number, since 13 + 633 + 6 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 1855044 = 3432^2 + 1362^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 378713 = 13633668 / (1 + 3 + 6 + 3 + 3 + 6 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 189321 + ... + 189392.

Almost surely, 2^13633668 is an apocalyptic number.

13633668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13633668 is an abundant number, since it is smaller than the sum of its proper divisors (20829306).

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

13633668 is a wasteful number, since it uses less digits than its factorization.

13633668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378723 (or 378718 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13633668 is about 3692.3797204513. The cubic root of 13633668 is about 238.8934475984.

The spelling of 13633668 in words is "thirteen million, six hundred thirty-three thousand, six hundred sixty-eight".