688466260 has 48 divisors (see below), whose sum is σ = 1484278992. Its totient is φ = 268083200.

The previous prime is 688466243. The next prime is 688466279. The reversal of 688466260 is 62664886.

It can be written as a sum of positive squares in 8 ways, for example, as 201469636 + 486996624 = 14194^2 + 22068^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 688466260.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721944 + ... + 722896.

It is an arithmetic number, because the mean of its divisors is an integer number (30922479).

Almost surely, 2^688466260 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 688466260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742139496).

688466260 is an abundant number, since it is smaller than the sum of its proper divisors (795812732).

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

688466260 is a wasteful number, since it uses less digits than its factorization.

688466260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 688466260 is about 26238.6405897867. The cubic root of 688466260 is about 883.0003732256. Note that the first 3 decimals are identical.

The spelling of 688466260 in words is "six hundred eighty-eight million, four hundred sixty-six thousand, two hundred sixty".