682620 has 48 divisors (see below), whose sum is σ = 1978368. Its totient is φ = 175680.

The previous prime is 682607. The next prime is 682637. The reversal of 682620 is 26286.

682620 = T₅ + T₆ + ... + T₁₅₉.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (41216).

2⁶⁸²⁶²⁰ is an apocalyptic number.

682620 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 682620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989184).

682620 is an abundant number, since it is smaller than the sum of its proper divisors (1295748).

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

682620 is a wasteful number, since it uses less digits than its factorization.

682620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 682620 is about 826.2082062047. The cubic root of 682620 is about 88.0493868787.

The spelling of 682620 in words is "six hundred eighty-two thousand, six hundred twenty".