83938368 has 56 divisors (see below), whose sum is σ = 224426272. Its totient is φ = 27684864.

The previous prime is 83938343. The next prime is 83938411. The reversal of 83938368 is 86383938.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16371 + ... + 20877.

It is an arithmetic number, because the mean of its divisors is an integer number (4007612).

Almost surely, 2^83938368 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 83938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112213136).

83938368 is an abundant number, since it is smaller than the sum of its proper divisors (140487904).

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

83938368 is a wasteful number, since it uses less digits than its factorization.

83938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4609 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 83938368 is about 9161.7884716904. The cubic root of 83938368 is about 437.8447772567.

It can be divided in two parts, 8393 and 8368, that added together give a palindrome (16761).

The spelling of 83938368 in words is "eighty-three million, nine hundred thirty-eight thousand, three hundred sixty-eight".