83668 has 12 divisors (see below), whose sum is σ = 157780. Its totient is φ = 38592.

The previous prime is 83663. The next prime is 83689. The reversal of 83668 is 86638.

83668 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 31684 = 228^2 + 178^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83663) by changing a digit.

83668 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753 + ... + 856.

2⁸³⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

83668 is a deficient number, since it is larger than the sum of its proper divisors (74112).

83668 is a wasteful number, since it uses less digits than its factorization.

83668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1624 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 83668 is about 289.2542134525. The cubic root of 83668 is about 43.7374167894.

The spelling of 83668 in words is "eighty-three thousand, six hundred sixty-eight".