686382500 has 60 divisors (see below), whose sum is σ = 1521947196. Its totient is φ = 270720000.

The previous prime is 686382479. The next prime is 686382533. The reversal of 686382500 is 5283686.

686382500 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 10 ways, for example, as 523768996 + 162613504 = 22886^2 + 12752^2 .

It is a super-2 number, since 2×686382500² = 942241872612500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180620 + ... + 184380.

Almost surely, 2^686382500 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 686382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760973598).

686382500 is an abundant number, since it is smaller than the sum of its proper divisors (835564696).

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

686382500 is a wasteful number, since it uses less digits than its factorization.

686382500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 686382500 is about 26198.9026487752. The cubic root of 686382500 is about 882.1086227698.

The spelling of 686382500 in words is "six hundred eighty-six million, three hundred eighty-two thousand, five hundred".