83220320 has 48 divisors (see below), whose sum is σ = 198486288. Its totient is φ = 32970240.

The previous prime is 83220311. The next prime is 83220341. The reversal of 83220320 is 2302238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 83220292 and 83220301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14690 + ... + 19550.

It is an arithmetic number, because the mean of its divisors is an integer number (4135131).

Almost surely, 2^83220320 is an apocalyptic number.

83220320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99243144).

83220320 is an abundant number, since it is smaller than the sum of its proper divisors (115265968).

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

83220320 is a wasteful number, since it uses less digits than its factorization.

83220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 83220320 is about 9122.5171964760. The cubic root of 83220320 is about 436.5926905613.

Adding to 83220320 its reverse (2302238), we get a palindrome (85522558).

The spelling of 83220320 in words is "eighty-three million, two hundred twenty thousand, three hundred twenty".