82048680 has 128 divisors (see below), whose sum is σ = 312595200. Its totient is φ = 18752256.

The previous prime is 82048657. The next prime is 82048697. The reversal of 82048680 is 8684028.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2134 + ... + 12986.

It is an arithmetic number, because the mean of its divisors is an integer number (2442150).

Almost surely, 2^82048680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156297600).

82048680 is an abundant number, since it is smaller than the sum of its proper divisors (230546520).

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

82048680 is a wasteful number, since it uses less digits than its factorization.

82048680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82048680 is about 9058.0726426763. The cubic root of 82048680 is about 434.5341028540.

It can be divided in two parts, 82048 and 680, that added together give a palindrome (82728).

The spelling of 82048680 in words is "eighty-two million, forty-eight thousand, six hundred eighty".