688268205 has 64 divisors (see below), whose sum is σ = 1300320000. Its totient is φ = 344217600.

The previous prime is 688268201. The next prime is 688268209. The reversal of 688268205 is 502862886.

It is an interprime number because it is at equal distance from previous prime (688268201) and next prime (688268209).

It is not a de Polignac number, because 688268205 - 2² = 688268201 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688268201) 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 63 ways as a sum of consecutive naturals, for example, 1144905 + ... + 1145505.

It is an arithmetic number, because the mean of its divisors is an integer number (20317500).

Almost surely, 2^688268205 is an apocalyptic number.

It is an amenable number.

688268205 is a deficient number, since it is larger than the sum of its proper divisors (612051795).

688268205 is a wasteful number, since it uses less digits than its factorization.

688268205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 688268205 is about 26234.8662089213. The cubic root of 688268205 is about 882.9156925271.

The spelling of 688268205 in words is "six hundred eighty-eight million, two hundred sixty-eight thousand, two hundred five".