83768 has 16 divisors (see below), whose sum is σ = 161880. Its totient is φ = 40608.

The previous prime is 83761. The next prime is 83773. The reversal of 83768 is 86738.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155 + ... + 437.

2⁸³⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

83768 is a deficient number, since it is larger than the sum of its proper divisors (78112).

83768 is a wasteful number, since it uses less digits than its factorization.

83768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 83768 is about 289.4270201623. The cubic root of 83768 is about 43.7548348398.

The spelling of 83768 in words is "eighty-three thousand, seven hundred sixty-eight".