688066101 has 6 divisors (see below), whose sum is σ = 993873270. Its totient is φ = 458710728.

The previous prime is 688066073. The next prime is 688066129. The reversal of 688066101 is 101660886.

It is an interprime number because it is at equal distance from previous prime (688066073) and next prime (688066129).

It can be written as a sum of positive squares in only one way, i.e., 452412900 + 235653201 = 21270^2 + 15351^2 .

It is not a de Polignac number, because 688066101 - 2⁵ = 688066069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688066501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38225886 + ... + 38225903.

It is an arithmetic number, because the mean of its divisors is an integer number (165645545).

Almost surely, 2^688066101 is an apocalyptic number.

It is an amenable number.

688066101 is a deficient number, since it is larger than the sum of its proper divisors (305807169).

688066101 is a wasteful number, since it uses less digits than its factorization.

688066101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76451795 (or 76451792 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 688066101 is about 26231.0141054440. The cubic root of 688066101 is about 882.8292638836.

The spelling of 688066101 in words is "six hundred eighty-eight million, sixty-six thousand, one hundred one".