675664 has 30 divisors (see below), whose sum is σ = 1443050. Its totient is φ = 306240.

The previous prime is 675643. The next prime is 675713. The reversal of 675664 is 466576.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 48400 = 792^2 + 220^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1762 + ... + 2110.

2⁶⁷⁵⁶⁶⁴ 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 675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721525).

675664 is an abundant number, since it is smaller than the sum of its proper divisors (767386).

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

675664 is a wasteful number, since it uses less digits than its factorization.

675664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 675664 is about 821.9878344599. The cubic root of 675664 is about 87.7492863907.

The spelling of 675664 in words is "six hundred seventy-five thousand, six hundred sixty-four".