688250820 has 48 divisors (see below), whose sum is σ = 1934106048. Its totient is φ = 182866560.

The previous prime is 688250777. The next prime is 688250821. The reversal of 688250820 is 28052886.

688250820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (688250821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4086 + ... + 37325.

It is an arithmetic number, because the mean of its divisors is an integer number (40293876).

Almost surely, 2^688250820 is an apocalyptic number.

688250820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688250820 is an abundant number, since it is smaller than the sum of its proper divisors (1245855228).

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

688250820 is a wasteful number, since it uses less digits than its factorization.

688250820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41700 (or 41698 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 688250820 is about 26234.5348729494. The cubic root of 688250820 is about 882.9082585943.

The spelling of 688250820 in words is "six hundred eighty-eight million, two hundred fifty thousand, eight hundred twenty".