686050560 has 360 divisors, whose sum is σ = 2648840040. Its totient is φ = 168542208.

The previous prime is 686050513. The next prime is 686050567. The reversal of 686050560 is 65050686.

It can be written as a sum of positive squares in 4 ways, for example, as 58247424 + 627803136 = 7632^2 + 25056^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686050567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1347586 + ... + 1348094.

It is an arithmetic number, because the mean of its divisors is an integer number (7357889).

Almost surely, 2^686050560 is an apocalyptic number.

686050560 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 686050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324420020).

686050560 is an abundant number, since it is smaller than the sum of its proper divisors (1962789480).

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

686050560 is a wasteful number, since it uses less digits than its factorization.

686050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 686050560 is about 26192.5668845190. The cubic root of 686050560 is about 881.9664016078.

The spelling of 686050560 in words is "six hundred eighty-six million, fifty thousand, five hundred sixty".