83858688 has 108 divisors (see below), whose sum is σ = 256127508. Its totient is φ = 26296320.

The previous prime is 83858683. The next prime is 83858699. The reversal of 83858688 is 88685838.

It can be written as a sum of positive squares in 2 ways, for example, as 73822464 + 10036224 = 8592^2 + 3168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83858683) 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, 38098 + ... + 40238.

It is an arithmetic number, because the mean of its divisors is an integer number (2371551).

Almost surely, 2^83858688 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 83858688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128063754).

83858688 is an abundant number, since it is smaller than the sum of its proper divisors (172268820).

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

83858688 is a wasteful number, since it uses less digits than its factorization.

83858688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2163 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 83858688 is about 9157.4389432854. The cubic root of 83858688 is about 437.7061893948.

The spelling of 83858688 in words is "eighty-three million, eight hundred fifty-eight thousand, six hundred eighty-eight".