686440000 has 105 divisors (see below), whose sum is σ = 1715240791. Its totient is φ = 272480000.

The previous prime is 686439983. The next prime is 686440009. The reversal of 686440000 is 44686.

The square root of 686440000 is 26200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 53816896 + 632623104 = 7336^2 + 25152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (686440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5239935 + ... + 5240065.

Almost surely, 2^686440000 is an apocalyptic number.

686440000 is the 26200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686440000

686440000 is an abundant number, since it is smaller than the sum of its proper divisors (1028800791).

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

686440000 is an frugal number, since it uses more digits than its factorization.

686440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The cubic root of 686440000 is about 882.1332542397.

Adding to 686440000 its reverse (44686), we get a palindrome (686484686).

It can be divided in two parts, 6864 and 40000, that added together give a palindrome (46864).

The spelling of 686440000 in words is "six hundred eighty-six million, four hundred forty thousand".