82464 has 24 divisors (see below), whose sum is σ = 216720. Its totient is φ = 27456.

The previous prime is 82463. The next prime is 82469. The reversal of 82464 is 46428.

82464 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×82464² = 13600622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (82463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 334 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (9030).

2⁸²⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

82464 is an abundant number, since it is smaller than the sum of its proper divisors (134256).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108360).

82464 is a wasteful number, since it uses less digits than its factorization.

82464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 82464 is about 287.1654575328. The cubic root of 82464 is about 43.5266054708.

It can be divided in two parts, 824 and 64, that added together give a palindrome (888).

The spelling of 82464 in words is "eighty-two thousand, four hundred sixty-four".