677691 has 24 divisors (see below), whose sum is σ = 1158144. Its totient is φ = 373680.

The previous prime is 677687. The next prime is 677717. The reversal of 677691 is 196776.

It is not a de Polignac number, because 677691 - 2² = 677687 is a prime.

677691 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677691.

It is not an unprimeable number, because it can be changed into a prime (677681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1780 + ... + 2126.

It is an arithmetic number, because the mean of its divisors is an integer number (48256).

2⁶⁷⁷⁶⁹¹ is an apocalyptic number.

677691 is a deficient number, since it is larger than the sum of its proper divisors (480453).

677691 is a wasteful number, since it uses less digits than its factorization.

677691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 677691 is about 823.2198977187. The cubic root of 677691 is about 87.8369484194.

It can be divided in two parts, 6776 and 91, that multiplied together give a palindrome (616616).

The spelling of 677691 in words is "six hundred seventy-seven thousand, six hundred ninety-one".