682464 has 24 divisors (see below), whose sum is σ = 1791720. Its totient is φ = 227456.

The previous prime is 682463. The next prime is 682471. The reversal of 682464 is 464286.

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

It is a super-2 number, since 2×682464² = 931514222592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 6⁵ + 8³ + 4⁵ + 2¹⁷ + 6⁷ + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682463) 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, 3459 + ... + 3650.

It is an arithmetic number, because the mean of its divisors is an integer number (74655).

2⁶⁸²⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

682464 is an abundant number, since it is smaller than the sum of its proper divisors (1109256).

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

682464 is a wasteful number, since it uses less digits than its factorization.

682464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7122 (or 7114 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 682464 is about 826.1137936144. The cubic root of 682464 is about 88.0426790223.

The spelling of 682464 in words is "six hundred eighty-two thousand, four hundred sixty-four".