680427225 has 81 divisors (see below), whose sum is σ = 1279766397. Its totient is φ = 345574080.

The previous prime is 680427199. The next prime is 680427229. The reversal of 680427225 is 522724086.

The square root of 680427225 is 26085.

It is a perfect power (a square), and thus also a powerful number.

680427225 is a `hidden beast` number, since 6 + 8 + 0 + 427 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64593369 + 615833856 = 8037^2 + 24816^2 .

It is not a de Polignac number, because 680427225 - 2⁹ = 680426713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 680427225.

It is not an unprimeable number, because it can be changed into a prime (680427229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14477152 + ... + 14477198.

Almost surely, 2^680427225 is an apocalyptic number.

680427225 is the 26085-th square number.

680427225 is the 13043-rd centered octagonal number.

It is an amenable number.

680427225 is a deficient number, since it is larger than the sum of its proper divisors (599339172).

680427225 is a wasteful number, since it uses less digits than its factorization.

680427225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 680427225 is about 879.5500562262.

Multiplying 680427225 by its sum of digits (36), we get a square (24495380100 = 156510²).

The spelling of 680427225 in words is "six hundred eighty million, four hundred twenty-seven thousand, two hundred twenty-five".