83865768 has 128 divisors (see below), whose sum is σ = 248832000. Its totient is φ = 23063040.

The previous prime is 83865737. The next prime is 83865823. The reversal of 83865768 is 86756838.

It is a self number, because there is not a number n which added to its sum of digits gives 83865768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942268 + ... + 942356.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^83865768 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 83865768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

83865768 is an abundant number, since it is smaller than the sum of its proper divisors (164966232).

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

83865768 is a wasteful number, since it uses less digits than its factorization.

83865768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 83865768 is about 9157.8255060904. The cubic root of 83865768 is about 437.7185072304.

The spelling of 83865768 in words is "eighty-three million, eight hundred sixty-five thousand, seven hundred sixty-eight".