83438568 has 96 divisors (see below), whose sum is σ = 236925000. Its totient is φ = 26492928.

The previous prime is 83438543. The next prime is 83438569. The reversal of 83438568 is 86583438.

83438568 is a `hidden beast` number, since 83 + 4 + 3 + 8 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64931364 + 18507204 = 8058^2 + 4302^2 .

It is not an unprimeable number, because it can be changed into a prime (83438569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185608 + ... + 186056.

Almost surely, 2^83438568 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 83438568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118462500).

83438568 is an abundant number, since it is smaller than the sum of its proper divisors (153486432).

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

83438568 is a wasteful number, since it uses less digits than its factorization.

83438568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 572 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 83438568 is about 9134.4714132784. The cubic root of 83438568 is about 436.9740169258.

The spelling of 83438568 in words is "eighty-three million, four hundred thirty-eight thousand, five hundred sixty-eight".