688415860 has 48 divisors (see below), whose sum is σ = 1580487552. Its totient is φ = 249795200.

The previous prime is 688415843. The next prime is 688415869. The reversal of 688415860 is 68514886.

It is a self number, because there is not a number n which added to its sum of digits gives 688415860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688415869) by changing a digit.

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, 107550 + ... + 113770.

It is an arithmetic number, because the mean of its divisors is an integer number (32926824).

Almost surely, 2^688415860 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 688415860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790243776).

688415860 is an abundant number, since it is smaller than the sum of its proper divisors (892071692).

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

688415860 is a wasteful number, since it uses less digits than its factorization.

688415860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 688415860 is about 26237.6801565992. The cubic root of 688415860 is about 882.9788256652.

The spelling of 688415860 in words is "six hundred eighty-eight million, four hundred fifteen thousand, eight hundred sixty".