677906 has 8 divisors (see below), whose sum is σ = 1032240. Its totient is φ = 333828.

The previous prime is 677891. The next prime is 677927. The reversal of 677906 is 609776.

677906 is nontrivially palindromic in base 7.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a zygodrome in base 7.

It is an unprimeable number.

677906 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 3 ways as a sum of consecutive naturals, for example, 2396 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (129030).

2⁶⁷⁷⁹⁰⁶ is an apocalyptic number.

677906 is a deficient number, since it is larger than the sum of its proper divisors (354334).

677906 is a wasteful number, since it uses less digits than its factorization.

677906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128.

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 677906 is about 823.3504721563. The cubic root of 677906 is about 87.8462363039.

The spelling of 677906 in words is "six hundred seventy-seven thousand, nine hundred six".