680427 has 32 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 393120.

The previous prime is 680417. The next prime is 680431. The reversal of 680427 is 724086.

It is not a de Polignac number, because 680427 - 2⁴ = 680411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 680427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8574 + ... + 8652.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁶⁸⁰⁴²⁷ is an apocalyptic number.

680427 is the 522-nd heptagonal number.

680427 is a deficient number, since it is larger than the sum of its proper divisors (471573).

680427 is a wasteful number, since it uses less digits than its factorization.

680427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 680427 is about 824.8799912715. The cubic root of 680427 is about 87.9549959278.

The spelling of 680427 in words is "six hundred eighty thousand, four hundred twenty-seven".