686938752 has 128 divisors (see below), whose sum is σ = 2046528000. Its totient is φ = 226824192.

The previous prime is 686938741. The next prime is 686938753. The reversal of 686938752 is 257839686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (686938753) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 389649 + ... + 391407.

It is an arithmetic number, because the mean of its divisors is an integer number (15988500).

Almost surely, 2^686938752 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 686938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023264000).

686938752 is an abundant number, since it is smaller than the sum of its proper divisors (1359589248).

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

686938752 is a wasteful number, since it uses less digits than its factorization.

686938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1877 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 686938752 is about 26209.5164396446. The cubic root of 686938752 is about 882.3468486356.

The spelling of 686938752 in words is "six hundred eighty-six million, nine hundred thirty-eight thousand, seven hundred fifty-two".