688228040 has 16 divisors (see below), whose sum is σ = 1548513180. Its totient is φ = 275291200.

The previous prime is 688228033. The next prime is 688228049. The reversal of 688228040 is 40822886.

688228040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 576672196 + 111555844 = 24014^2 + 10562^2 .

It is a junction number, because it is equal to n+sod(n) for n = 688227985 and 688228003.

It is not an unprimeable number, because it can be changed into a prime (688228049) 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 3 ways as a sum of consecutive naturals, for example, 8602811 + ... + 8602890.

Almost surely, 2^688228040 is an apocalyptic number.

It is an amenable number.

688228040 is an abundant number, since it is smaller than the sum of its proper divisors (860285140).

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

688228040 is a wasteful number, since it uses less digits than its factorization.

688228040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17205712 (or 17205708 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 688228040 is about 26234.1007088103. The cubic root of 688228040 is about 882.8985175370.

The spelling of 688228040 in words is "six hundred eighty-eight million, two hundred twenty-eight thousand, forty".