83140768 has 48 divisors (see below), whose sum is σ = 172984896. Its totient is φ = 39255040.

The previous prime is 83140753. The next prime is 83140777. The reversal of 83140768 is 86704138.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60408 + ... + 61768.

It is an arithmetic number, because the mean of its divisors is an integer number (3603852).

Almost surely, 2^83140768 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 83140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86492448).

83140768 is an abundant number, since it is smaller than the sum of its proper divisors (89844128).

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

83140768 is a wasteful number, since it uses less digits than its factorization.

83140768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 83140768 is about 9118.1559539196. The cubic root of 83140768 is about 436.4535302594.

The spelling of 83140768 in words is "eighty-three million, one hundred forty thousand, seven hundred sixty-eight".