682416 has 60 divisors (see below), whose sum is σ = 2185872. Its totient is φ = 194688.

The previous prime is 682411. The next prime is 682417. The reversal of 682416 is 614286.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 682416.

It is not an unprimeable number, because it can be changed into a prime (682411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 1346.

2⁶⁸²⁴¹⁶ 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 682416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092936).

682416 is an abundant number, since it is smaller than the sum of its proper divisors (1503456).

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

682416 is a wasteful number, since it uses less digits than its factorization.

682416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 682416 is about 826.0847414158. The cubic root of 682416 is about 88.0406148609.

The spelling of 682416 in words is "six hundred eighty-two thousand, four hundred sixteen".