686261760 has 160 divisors (see below), whose sum is σ = 2309852160. Its totient is φ = 173334528.

The previous prime is 686261749. The next prime is 686261777. The reversal of 686261760 is 67162686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143569 + ... + 148271.

It is an arithmetic number, because the mean of its divisors is an integer number (14436576).

Almost surely, 2^686261760 is an apocalyptic number.

686261760 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 686261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154926080).

686261760 is an abundant number, since it is smaller than the sum of its proper divisors (1623590400).

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

686261760 is a wasteful number, since it uses less digits than its factorization.

686261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 686261760 is about 26196.5982524449. The cubic root of 686261760 is about 882.0568964895.

The spelling of 686261760 in words is "six hundred eighty-six million, two hundred sixty-one thousand, seven hundred sixty".