686810880 has 576 divisors, whose sum is σ = 2966906880. Its totient is φ = 146866176.

The previous prime is 686810869. The next prime is 686810893. The reversal of 686810880 is 88018686.

It is a happy number.

686810880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112557 + ... + 4112723.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2^686810880 is an apocalyptic number.

686810880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483453440).

686810880 is an abundant number, since it is smaller than the sum of its proper divisors (2280096000).

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

686810880 is a wasteful number, since it uses less digits than its factorization.

686810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 686810880 is about 26207.0769068204. The cubic root of 686810880 is about 882.2920963220.

The spelling of 686810880 in words is "six hundred eighty-six million, eight hundred ten thousand, eight hundred eighty".