680272 has 40 divisors (see below), whose sum is σ = 1453032. Its totient is φ = 307200.

The previous prime is 680263. The next prime is 680291. The reversal of 680272 is 272086.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 678976 = 36^2 + 824^2 .

It is a congruent number.

It is an unprimeable number.

680272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 11122 + ... + 11182.

2⁶⁸⁰²⁷² 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 680272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726516).

680272 is an abundant number, since it is smaller than the sum of its proper divisors (772760).

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

680272 is a wasteful number, since it uses less digits than its factorization.

680272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 680272 is about 824.7860328594. The cubic root of 680272 is about 87.9483167593.

The spelling of 680272 in words is "six hundred eighty thousand, two hundred seventy-two".