688528841 has 36 divisors (see below), whose sum is σ = 948201156. Its totient is φ = 495190080.

The previous prime is 688528823. The next prime is 688528847. The reversal of 688528841 is 148825886.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 136983616 + 551545225 = 11704^2 + 23485^2 .

It is a de Polignac number, because none of the positive numbers 2^k-688528841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 688528841.

It is not an unprimeable number, because it can be changed into a prime (688528847) 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 35 ways as a sum of consecutive naturals, for example, 72611 + ... + 81543.

It is an arithmetic number, because the mean of its divisors is an integer number (26338921).

Almost surely, 2^688528841 is an apocalyptic number.

It is an amenable number.

688528841 is a deficient number, since it is larger than the sum of its proper divisors (259672315).

688528841 is a wasteful number, since it uses less digits than its factorization.

688528841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982 (or 8964 counting only the distinct ones).

The product of its digits is 983040, while the sum is 50.

The square root of 688528841 is about 26239.8330977924. The cubic root of 688528841 is about 883.0271270770.

The spelling of 688528841 in words is "six hundred eighty-eight million, five hundred twenty-eight thousand, eight hundred forty-one".