688068072 has 48 divisors (see below), whose sum is σ = 1866735780. Its totient is φ = 228960000.

The previous prime is 688068067. The next prime is 688068077. The reversal of 688068072 is 270860886.

It is an interprime number because it is at equal distance from previous prime (688068067) and next prime (688068077).

It can be written as a sum of positive squares in 2 ways, for example, as 505980036 + 182088036 = 22494^2 + 13494^2 .

It is not an unprimeable number, because it can be changed into a prime (688068077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35322 + ... + 51222.

Almost surely, 2^688068072 is an apocalyptic number.

It is an amenable number.

688068072 is an abundant number, since it is smaller than the sum of its proper divisors (1178667708).

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

688068072 is a wasteful number, since it uses less digits than its factorization.

688068072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16514 (or 16507 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 688068072 is about 26231.0516754476. The cubic root of 688068072 is about 882.8301068524.

The spelling of 688068072 in words is "six hundred eighty-eight million, sixty-eight thousand, seventy-two".