83323520 has 96 divisors (see below), whose sum is σ = 231804180. Its totient is φ = 28557312.

The previous prime is 83323507. The next prime is 83323553. The reversal of 83323520 is 2532338.

It can be written as a sum of positive squares in 2 ways, for example, as 83320384 + 3136 = 9128^2 + 56^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83323520.

It is an unprimeable number.

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, 30032 + ... + 32688.

Almost surely, 2^83323520 is an apocalyptic number.

83323520 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 83323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115902090).

83323520 is an abundant number, since it is smaller than the sum of its proper divisors (148480660).

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

83323520 is a wasteful number, since it uses less digits than its factorization.

83323520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 83323520 is about 9128.1717775248. The cubic root of 83323520 is about 436.7730862225.

Adding to 83323520 its reverse (2532338), we get a palindrome (85855858).

The spelling of 83323520 in words is "eighty-three million, three hundred twenty-three thousand, five hundred twenty".