82395520 has 64 divisors (see below), whose sum is σ = 203379840. Its totient is φ = 31887360.

The previous prime is 82395517. The next prime is 82395539. The reversal of 82395520 is 2559328.

It is a tau number, because it is divible by the number of its divisors (64).

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, 17764 + ... + 21916.

It is an arithmetic number, because the mean of its divisors is an integer number (3177810).

Almost surely, 2^82395520 is an apocalyptic number.

82395520 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 82395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101689920).

82395520 is an abundant number, since it is smaller than the sum of its proper divisors (120984320).

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

82395520 is a wasteful number, since it uses less digits than its factorization.

82395520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 82395520 is about 9077.1978054904. The cubic root of 82395520 is about 435.1455363649.

The spelling of 82395520 in words is "eighty-two million, three hundred ninety-five thousand, five hundred twenty".