83768663 has 24 divisors (see below), whose sum is σ = 98313600. Its totient is φ = 71113680.

The previous prime is 83768653. The next prime is 83768683. The reversal of 83768663 is 36686738.

It is not a de Polignac number, because 83768663 - 2⁴ = 83768647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83768623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190598 + ... + 191036.

It is an arithmetic number, because the mean of its divisors is an integer number (4096400).

Almost surely, 2^83768663 is an apocalyptic number.

83768663 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

83768663 is a deficient number, since it is larger than the sum of its proper divisors (14544937).

83768663 is a wasteful number, since it uses less digits than its factorization.

83768663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 83768663 is about 9152.5222206778. The cubic root of 83768663 is about 437.5495027523.

The spelling of 83768663 in words is "eighty-three million, seven hundred sixty-eight thousand, six hundred sixty-three".