688857816 has 64 divisors (see below), whose sum is σ = 1828915200. Its totient is φ = 215464448.

The previous prime is 688857791. The next prime is 688857817. The reversal of 688857816 is 618758886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688857817) 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, 144121 + ... + 148823.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 2^688857816 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 688857816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

688857816 is an abundant number, since it is smaller than the sum of its proper divisors (1140057384).

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

688857816 is a wasteful number, since it uses less digits than its factorization.

688857816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5084 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 57.

The square root of 688857816 is about 26246.1009675723. The cubic root of 688857816 is about 883.1677397276.

The spelling of 688857816 in words is "six hundred eighty-eight million, eight hundred fifty-seven thousand, eight hundred sixteen".