686544804 has 81 divisors (see below), whose sum is σ = 1912358721. Its totient is φ = 207519840.

The previous prime is 686544787. The next prime is 686544809. The reversal of 686544804 is 408445686.

The square root of 686544804 is 26202.

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

It can be written as a sum of positive squares in only one way, i.e., 460102500 + 226442304 = 21450^2 + 15048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 686544804.

It is not an unprimeable number, because it can be changed into a prime (686544809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1729134 + ... + 1729530.

Almost surely, 2^686544804 is an apocalyptic number.

686544804 is the 26202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686544804

686544804 is an abundant number, since it is smaller than the sum of its proper divisors (1225813917).

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

686544804 is a wasteful number, since it uses less digits than its factorization.

686544804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The cubic root of 686544804 is about 882.1781459461.

It can be divided in two parts, 686 and 544804, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 686544804 in words is "six hundred eighty-six million, five hundred forty-four thousand, eight hundred four".