82354320 has 200 divisors, whose sum is σ = 291677760. Its totient is φ = 21530880.

The previous prime is 82354319. The next prime is 82354333. The reversal of 82354320 is 2345328.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 459991 + ... + 460169.

Almost surely, 2^82354320 is an apocalyptic number.

82354320 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 82354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145838880).

82354320 is an abundant number, since it is smaller than the sum of its proper divisors (209323440).

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

82354320 is a wasteful number, since it uses less digits than its factorization.

82354320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 82354320 is about 9074.9280988887. The cubic root of 82354320 is about 435.0729960735.

Adding to 82354320 its reverse (2345328), we get a palindrome (84699648).

The spelling of 82354320 in words is "eighty-two million, three hundred fifty-four thousand, three hundred twenty".