680256 has 42 divisors (see below), whose sum is σ = 1951482. Its totient is φ = 226560.

The previous prime is 680249. The next prime is 680263. The reversal of 680256 is 652086.

It is an interprime number because it is at equal distance from previous prime (680249) and next prime (680263).

It can be written as a sum of positive squares in only one way, i.e., 665856 + 14400 = 816^2 + 120^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

680256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15 + ... + 1166.

2⁶⁸⁰²⁵⁶ 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 680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975741).

680256 is an abundant number, since it is smaller than the sum of its proper divisors (1271226).

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

680256 is a wasteful number, since it uses less digits than its factorization.

680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 680256 is about 824.7763333171. The cubic root of 680256 is about 87.9476272390.

The spelling of 680256 in words is "six hundred eighty thousand, two hundred fifty-six".