427688 has 16 divisors (see below), whose sum is σ = 808980. Its totient is φ = 211968.

The previous prime is 427681. The next prime is 427711. The reversal of 427688 is 886724.

It can be written as a sum of positive squares in 2 ways, for example, as 386884 + 40804 = 622^2 + 202^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 427688.

It is not an unprimeable number, because it can be changed into a prime (427681) by changing a digit.

427688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1406 + ... + 1682.

2⁴²⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

427688 is a deficient number, since it is larger than the sum of its proper divisors (381292).

427688 is a wasteful number, since it uses less digits than its factorization.

427688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 427688 is about 653.9785929218. The cubic root of 427688 is about 75.3429039102.

The spelling of 427688 in words is "four hundred twenty-seven thousand, six hundred eighty-eight".