83136768 has 144 divisors (see below), whose sum is σ = 260291136. Its totient is φ = 23224320.

The previous prime is 83136733. The next prime is 83136787. The reversal of 83136768 is 86763138.

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, 109446 + ... + 110202.

Almost surely, 2^83136768 is an apocalyptic number.

83136768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130145568).

83136768 is an abundant number, since it is smaller than the sum of its proper divisors (177154368).

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

83136768 is a wasteful number, since it uses less digits than its factorization.

83136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 786 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 83136768 is about 9117.9366086851. The cubic root of 83136768 is about 436.4465307165.

The spelling of 83136768 in words is "eighty-three million, one hundred thirty-six thousand, seven hundred sixty-eight".