680264 has 32 divisors (see below), whose sum is σ = 1424640. Its totient is φ = 302400.

The previous prime is 680263. The next prime is 680291. The reversal of 680264 is 462086.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (680263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3119 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (44520).

2⁶⁸⁰²⁶⁴ 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 680264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712320).

680264 is an abundant number, since it is smaller than the sum of its proper divisors (744376).

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

680264 is a wasteful number, since it uses less digits than its factorization.

680264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

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

The square root of 680264 is about 824.7811831025. The cubic root of 680264 is about 87.9479720005.

The spelling of 680264 in words is "six hundred eighty thousand, two hundred sixty-four".