82024320 has 256 divisors, whose sum is σ = 317260800. Its totient is φ = 17596416.

The previous prime is 82024307. The next prime is 82024331. The reversal of 82024320 is 2342028.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228301 + ... + 228659.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^82024320 is an apocalyptic number.

82024320 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 82024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

82024320 is an abundant number, since it is smaller than the sum of its proper divisors (235236480).

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

82024320 is a wasteful number, since it uses less digits than its factorization.

82024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 82024320 is about 9056.7278859420. The cubic root of 82024320 is about 434.4910946524.

Adding to 82024320 its reverse (2342028), we get a palindrome (84366348).

The spelling of 82024320 in words is "eighty-two million, twenty-four thousand, three hundred twenty".