82534320 has 240 divisors, whose sum is σ = 320684832. Its totient is φ = 18800640.

The previous prime is 82534313. The next prime is 82534339. The reversal of 82534320 is 2343528.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134334 + ... + 134946.

Almost surely, 2^82534320 is an apocalyptic number.

82534320 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 82534320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160342416).

82534320 is an abundant number, since it is smaller than the sum of its proper divisors (238150512).

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

82534320 is a wasteful number, since it uses less digits than its factorization.

82534320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 651 counting only the distinct ones).

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

The square root of 82534320 is about 9084.8401196719. The cubic root of 82534320 is about 435.3897418646.

Adding to 82534320 its reverse (2343528), we get a palindrome (84877848).

The spelling of 82534320 in words is "eighty-two million, five hundred thirty-four thousand, three hundred twenty".