82049648 has 40 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 38565824.

The previous prime is 82049647. The next prime is 82049663. The reversal of 82049648 is 84694028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82049647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19823 + ... + 23601.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^82049648 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 82049648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

82049648 is an abundant number, since it is smaller than the sum of its proper divisors (86689552).

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

82049648 is a wasteful number, since it uses less digits than its factorization.

82049648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 82049648 is about 9058.1260755192. The cubic root of 82049648 is about 434.5358117068.

The spelling of 82049648 in words is "eighty-two million, forty-nine thousand, six hundred forty-eight".