677649 has 24 divisors (see below), whose sum is σ = 1097152. Its totient is φ = 364320.

The previous prime is 677647. The next prime is 677657. The reversal of 677649 is 946776.

It is not a de Polignac number, because 677649 - 2¹ = 677647 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677647) 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, 11079 + ... + 11139.

2⁶⁷⁷⁶⁴⁹ is an apocalyptic number.

677649 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

677649 is a deficient number, since it is larger than the sum of its proper divisors (419503).

677649 is a wasteful number, since it uses less digits than its factorization.

677649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 677649 is about 823.1943877360. The cubic root of 677649 is about 87.8351338126.

Adding to 677649 its product of digits (63504), we get a triangular number (741153 = T₁₂₁₇).

It can be divided in two parts, 677 and 649, that added together give a triangular number (1326 = T₅₁).

The spelling of 677649 in words is "six hundred seventy-seven thousand, six hundred forty-nine".