83688008 has 64 divisors (see below), whose sum is σ = 176904000. Its totient is φ = 36882432.

The previous prime is 83687993. The next prime is 83688013. The reversal of 83688008 is 80088638.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359060 + ... + 359292.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2^83688008 is an apocalyptic number.

83688008 is the 5282-nd octagonal number.

It is an amenable number.

83688008 is an abundant number, since it is smaller than the sum of its proper divisors (93215992).

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

83688008 is a wasteful number, since it uses less digits than its factorization.

83688008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 83688008 is about 9148.1149970909. The cubic root of 83688008 is about 437.4090290310.

The spelling of 83688008 in words is "eighty-three million, six hundred eighty-eight thousand, eight".