686280672 has 216 divisors, whose sum is σ = 2477186712. Its totient is φ = 178214400.

The previous prime is 686280659. The next prime is 686280689. The reversal of 686280672 is 276082686.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153022 + ... + 157442.

It is an arithmetic number, because the mean of its divisors is an integer number (11468457).

Almost surely, 2^686280672 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 686280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238593356).

686280672 is an abundant number, since it is smaller than the sum of its proper divisors (1790906040).

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

686280672 is a wasteful number, since it uses less digits than its factorization.

686280672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 686280672 is about 26196.9592128552. The cubic root of 686280672 is about 882.0649989891.

The spelling of 686280672 in words is "six hundred eighty-six million, two hundred eighty thousand, six hundred seventy-two".