675684 has 27 divisors (see below), whose sum is σ = 1720537. Its totient is φ = 223584.

The previous prime is 675643. The next prime is 675713. The reversal of 675684 is 486576.

It is a happy number.

The square root of 675684 is 822.

It is a perfect power (a square), and thus also a powerful number.

675684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 278784 = 630^2 + 528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

675684 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 8 ways as a sum of consecutive naturals, for example, 4864 + ... + 5000.

2⁶⁷⁵⁶⁸⁴ is an apocalyptic number.

675684 is the 822-nd square number.

It is an amenable number.

675684 is an abundant number, since it is smaller than the sum of its proper divisors (1044853).

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

675684 is a wasteful number, since it uses less digits than its factorization.

675684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 675684 is about 87.7501521901.

Multiplying 675684 by its sum of digits (36), we get a square (24324624 = 4932²).

675684 divided by its sum of digits (36) gives a square (18769 = 137²).

The spelling of 675684 in words is "six hundred seventy-five thousand, six hundred eighty-four".