83838020 has 36 divisors (see below), whose sum is σ = 204806700. Its totient is φ = 28744128.

The previous prime is 83838011. The next prime is 83838023. The reversal of 83838020 is 2083838.

It can be written as a sum of positive squares in 2 ways, for example, as 11383876 + 72454144 = 3374^2 + 8512^2 .

It is not an unprimeable number, because it can be changed into a prime (83838023) 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, 41795 + ... + 43754.

It is an arithmetic number, because the mean of its divisors is an integer number (5689075).

Almost surely, 2^83838020 is an apocalyptic number.

It is an amenable number.

83838020 is an abundant number, since it is smaller than the sum of its proper divisors (120968680).

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

83838020 is a wasteful number, since it uses less digits than its factorization.

83838020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85572 (or 85563 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 83838020 is about 9156.3103922923. The cubic root of 83838020 is about 437.6702270910.

The spelling of 83838020 in words is "eighty-three million, eight hundred thirty-eight thousand, twenty".