83306320 has 20 divisors (see below), whose sum is σ = 193687380. Its totient is φ = 33322496.

The previous prime is 83306291. The next prime is 83306323. The reversal of 83306320 is 2360338.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 69822736 = 3672^2 + 8356^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83306323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520585 + ... + 520744.

It is an arithmetic number, because the mean of its divisors is an integer number (9684369).

Almost surely, 2^83306320 is an apocalyptic number.

83306320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83306320 is an abundant number, since it is smaller than the sum of its proper divisors (110381060).

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

83306320 is a wasteful number, since it uses less digits than its factorization.

83306320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041342 (or 1041336 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 83306320 is about 9127.2295906261. The cubic root of 83306320 is about 436.7430306269.

Adding to 83306320 its reverse (2360338), we get a palindrome (85666658).

The spelling of 83306320 in words is "eighty-three million, three hundred six thousand, three hundred twenty".