677638 has 16 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 307296.

The previous prime is 677627. The next prime is 677639. The reversal of 677638 is 836776.

It is a junction number, because it is equal to n+sod(n) for n = 677597 and 677606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677639) by changing a digit.

677638 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 7 ways as a sum of consecutive naturals, for example, 1548 + ... + 1936.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2⁶⁷⁷⁶³⁸ is an apocalyptic number.

677638 is a deficient number, since it is larger than the sum of its proper divisors (436202).

677638 is a wasteful number, since it uses less digits than its factorization.

677638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

The product of its digits is 42336, while the sum is 37.

The square root of 677638 is about 823.1877064194. The cubic root of 677638 is about 87.8346585460.

The spelling of 677638 in words is "six hundred seventy-seven thousand, six hundred thirty-eight".