82048560 has 80 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 19889920.

The previous prime is 82048553. The next prime is 82048583. The reversal of 82048560 is 6584028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12900 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (3468528).

Almost surely, 2^82048560 is an apocalyptic number.

82048560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82048560 is an abundant number, since it is smaller than the sum of its proper divisors (195433680).

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

82048560 is a wasteful number, since it uses less digits than its factorization.

82048560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31106 (or 31100 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 82048560 is about 9058.0660187482. The cubic root of 82048560 is about 434.5338910118.

The spelling of 82048560 in words is "eighty-two million, forty-eight thousand, five hundred sixty".