83168406 has 48 divisors (see below), whose sum is σ = 186001920. Its totient is φ = 26844720.

The previous prime is 83168387. The next prime is 83168411. The reversal of 83168406 is 60486138.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 74851 + ... + 75953.

It is an arithmetic number, because the mean of its divisors is an integer number (3875040).

Almost surely, 2^83168406 is an apocalyptic number.

83168406 is an abundant number, since it is smaller than the sum of its proper divisors (102833514).

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

83168406 is a wasteful number, since it uses less digits than its factorization.

83168406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83168406 is about 9119.6713756582. The cubic root of 83168406 is about 436.5018874676.

The spelling of 83168406 in words is "eighty-three million, one hundred sixty-eight thousand, four hundred six".