682640 has 80 divisors (see below), whose sum is σ = 1928448. Its totient is φ = 219648.

The previous prime is 682637. The next prime is 682657. The reversal of 682640 is 46286.

682640 = T₁ + T₂ + ... + T₁₅₉.

682640 is a nontrivial binomial coefficient, being equal to C(161, 3).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×682640³ = 954325333151232000, which contains 333 as substring.

It is an unprimeable number.

It is the 159-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12854 + ... + 12906.

2⁶⁸²⁶⁴⁰ 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 682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964224).

682640 is an abundant number, since it is smaller than the sum of its proper divisors (1245808).

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

682640 is a wasteful number, since it uses less digits than its factorization.

682640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 682640 is about 826.2203096027. The cubic root of 682640 is about 88.0502467864.

The spelling of 682640 in words is "six hundred eighty-two thousand, six hundred forty".