686223648 has 288 divisors, whose sum is σ = 2237481792. Its totient is φ = 197683200.

The previous prime is 686223623. The next prime is 686223661. The reversal of 686223648 is 846322686.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10242111 + ... + 10242177.

It is an arithmetic number, because the mean of its divisors is an integer number (7769034).

Almost surely, 2^686223648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686223648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118740896).

686223648 is an abundant number, since it is smaller than the sum of its proper divisors (1551258144).

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

686223648 is a wasteful number, since it uses less digits than its factorization.

686223648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 686223648 is about 26195.8708196540. The cubic root of 686223648 is about 882.0405676498.

The spelling of 686223648 in words is "six hundred eighty-six million, two hundred twenty-three thousand, six hundred forty-eight".