82382664 has 128 divisors (see below), whose sum is σ = 257725440. Its totient is φ = 21364992.

The previous prime is 82382639. The next prime is 82382719. The reversal of 82382664 is 46628328.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

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, 146047 + ... + 146609.

It is an arithmetic number, because the mean of its divisors is an integer number (2013480).

Almost surely, 2^82382664 is an apocalyptic number.

82382664 is a gapful number since it is divisible by the number (84) 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 82382664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128862720).

82382664 is an abundant number, since it is smaller than the sum of its proper divisors (175342776).

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

82382664 is a wasteful number, since it uses less digits than its factorization.

82382664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 655 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 82382664 is about 9076.4896298073. The cubic root of 82382664 is about 435.1229035729.

The spelling of 82382664 in words is "eighty-two million, three hundred eighty-two thousand, six hundred sixty-four".