677128 has 16 divisors (see below), whose sum is σ = 1294380. Its totient is φ = 331968.

The previous prime is 677119. The next prime is 677147. The reversal of 677128 is 821776.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 1444 = 822^2 + 38^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 677128.

It is an unprimeable number.

677128 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, 375 + ... + 1222.

2⁶⁷⁷¹²⁸ is an apocalyptic number.

It is an amenable number.

677128 is a deficient number, since it is larger than the sum of its proper divisors (617252).

677128 is a wasteful number, since it uses less digits than its factorization.

677128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1652 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 677128 is about 822.8778767229. The cubic root of 677128 is about 87.8126178112.

It can be divided in two parts, 67712 and 8, that multiplied together give a square (541696 = 736²).

The spelling of 677128 in words is "six hundred seventy-seven thousand, one hundred twenty-eight".