83130768 has 60 divisors (see below), whose sum is σ = 265889728. Its totient is φ = 23751360.

The previous prime is 83130767. The next prime is 83130779. The reversal of 83130768 is 86703138.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83130767) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40228 + ... + 42243.

Almost surely, 2^83130768 is an apocalyptic number.

It is an amenable number.

83130768 is an abundant number, since it is smaller than the sum of its proper divisors (182758960).

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

83130768 is a wasteful number, since it uses less digits than its factorization.

83130768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82492 (or 82483 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83130768 is about 9117.6075809392. The cubic root of 83130768 is about 436.4360309812.

The spelling of 83130768 in words is "eighty-three million, one hundred thirty thousand, seven hundred sixty-eight".