686668752 has 300 divisors, whose sum is σ = 2524633056. Its totient is φ = 178174080.

The previous prime is 686668739. The next prime is 686668771. The reversal of 686668752 is 257866686.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 698053 + ... + 699035.

Almost surely, 2^686668752 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 686668752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262316528).

686668752 is an abundant number, since it is smaller than the sum of its proper divisors (1837964304).

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

686668752 is a wasteful number, since it uses less digits than its factorization.

686668752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1006 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 686668752 is about 26204.3651325500. The cubic root of 686668752 is about 882.2312318902.

The spelling of 686668752 in words is "six hundred eighty-six million, six hundred sixty-eight thousand, seven hundred fifty-two".