680512 has 56 divisors (see below), whose sum is σ = 1625600. Its totient is φ = 282240.

The previous prime is 680509. The next prime is 680531. The reversal of 680512 is 215086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21937 + ... + 21967.

2⁶⁸⁰⁵¹² is an apocalyptic number.

680512 is a gapful number since it is divisible by the number (62) 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 680512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812800).

680512 is an abundant number, since it is smaller than the sum of its proper divisors (945088).

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

680512 is an equidigital number, since it uses as much as digits as its factorization.

680512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 680512 is about 824.9315123087. The cubic root of 680512 is about 87.9586582670.

Adding to 680512 its reverse (215086), we get a palindrome (895598).

The spelling of 680512 in words is "six hundred eighty thousand, five hundred twelve".