83135668 has 48 divisors (see below), whose sum is σ = 185278464. Its totient is φ = 31695840.

The previous prime is 83135609. The next prime is 83135681. The reversal of 83135668 is 86653138.

It is a self number, because there is not a number n which added to its sum of digits gives 83135668.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11605 + ... + 17347.

It is an arithmetic number, because the mean of its divisors is an integer number (3859968).

Almost surely, 2^83135668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83135668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92639232).

83135668 is an abundant number, since it is smaller than the sum of its proper divisors (102142796).

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

83135668 is a wasteful number, since it uses less digits than its factorization.

83135668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5812 (or 5810 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 83135668 is about 9117.8762878205. The cubic root of 83135668 is about 436.4446058029. Note that the first 3 decimals are identical.

The spelling of 83135668 in words is "eighty-three million, one hundred thirty-five thousand, six hundred sixty-eight".