82049664 has 64 divisors (see below), whose sum is σ = 221005440. Its totient is φ = 26966016.

The previous prime is 82049663. The next prime is 82049677. The reversal of 82049664 is 46694028.

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

It is not an unprimeable number, because it can be changed into a prime (82049663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26569 + ... + 29495.

It is an arithmetic number, because the mean of its divisors is an integer number (3453210).

Almost surely, 2^82049664 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 82049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110502720).

82049664 is an abundant number, since it is smaller than the sum of its proper divisors (138955776).

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

82049664 is a wasteful number, since it uses less digits than its factorization.

82049664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 82049664 is about 9058.1269587040. The cubic root of 82049664 is about 434.5358399522.

The spelling of 82049664 in words is "eighty-two million, forty-nine thousand, six hundred sixty-four".