677344 has 24 divisors (see below), whose sum is σ = 1359288. Its totient is φ = 332160.

The previous prime is 677333. The next prime is 677357. The reversal of 677344 is 443776.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1779 + ... + 2125.

It is an arithmetic number, because the mean of its divisors is an integer number (56637).

2⁶⁷⁷³⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679644).

677344 is an abundant number, since it is smaller than the sum of its proper divisors (681944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

677344 is a wasteful number, since it uses less digits than its factorization.

677344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its digits is 14112, while the sum is 31.

The square root of 677344 is about 823.0091129508. The cubic root of 677344 is about 87.8219540612.

The spelling of 677344 in words is "six hundred seventy-seven thousand, three hundred forty-four".