36668 has 12 divisors (see below), whose sum is σ = 65520. Its totient is φ = 17952.

The previous prime is 36653. The next prime is 36671. The reversal of 36668 is 86663.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 36668.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 305 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2³⁶⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

36668 is a deficient number, since it is larger than the sum of its proper divisors (28852).

36668 is a wasteful number, since it uses less digits than its factorization.

36668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 36668 is about 191.4889030727. The cubic root of 36668 is about 33.2222524646. Note that the first 4 decimals are identical.

It can be divided in two parts, 366 and 68, that added together give a palindrome (434).

The spelling of 36668 in words is "thirty-six thousand, six hundred sixty-eight".