682020 has 60 divisors (see below), whose sum is σ = 2144604. Its totient is φ = 181440.

The previous prime is 682009. The next prime is 682037. The reversal of 682020 is 20286.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 599076 = 288^2 + 774^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 681984 and 682002.

It is an unprimeable number.

682020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1410 + ... + 1830.

2⁶⁸²⁰²⁰ is an apocalyptic number.

682020 is a gapful number since it is divisible by the number (60) 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 682020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072302).

682020 is an abundant number, since it is smaller than the sum of its proper divisors (1462584).

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

682020 is a wasteful number, since it uses less digits than its factorization.

682020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 682020 is about 825.8450217807. The cubic root of 682020 is about 88.0235818344.

The spelling of 682020 in words is "six hundred eighty-two thousand, twenty".