686859264 has 495 divisors, whose sum is σ = 2583623097. Its totient is φ = 181149696.

The previous prime is 686859247. The next prime is 686859289. The reversal of 686859264 is 462958686.

It is a happy number.

The square root of 686859264 is 26208.

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., 101606400 + 585252864 = 10080^2 + 24192^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4976640) is a multiple of the sum of its prime factors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 686859264.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52835322 + ... + 52835334.

Almost surely, 2^686859264 is an apocalyptic number.

686859264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

686859264 is the 26208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686859264

686859264 is an abundant number, since it is smaller than the sum of its proper divisors (1896763833).

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

686859264 is a wasteful number, since it uses less digits than its factorization.

686859264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 25 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The cubic root of 686859264 is about 882.3128142128.

The spelling of 686859264 in words is "six hundred eighty-six million, eight hundred fifty-nine thousand, two hundred sixty-four".