83333320 has 192 divisors, whose sum is σ = 240453360. Its totient is φ = 25804800.

The previous prime is 83333317. The next prime is 83333321. The reversal of 83333320 is 2333338.

It can be written as a sum of positive squares in 8 ways, for example, as 6280036 + 77053284 = 2506^2 + 8778^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83333321) 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 47 ways as a sum of consecutive naturals, for example, 1366090 + ... + 1366150.

Almost surely, 2^83333320 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 83333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120226680).

83333320 is an abundant number, since it is smaller than the sum of its proper divisors (157120040).

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

83333320 is a wasteful number, since it uses less digits than its factorization.

83333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 83333320 is about 9128.7085614560. The cubic root of 83333320 is about 436.7902090727.

Adding to 83333320 its reverse (2333338), we get a palindrome (85666658).

The spelling of 83333320 in words is "eighty-three million, three hundred thirty-three thousand, three hundred twenty".