688264461 has 12 divisors (see below), whose sum is σ = 994477120. Its totient is φ = 458696520.

The previous prime is 688264439. The next prime is 688264463. The reversal of 688264461 is 164462886.

It is not a de Polignac number, because 688264461 - 2¹⁰ = 688263437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688264463) 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 11 ways as a sum of consecutive naturals, for example, 22860 + ... + 43578.

Almost surely, 2^688264461 is an apocalyptic number.

It is an amenable number.

688264461 is a deficient number, since it is larger than the sum of its proper divisors (306212659).

688264461 is a wasteful number, since it uses less digits than its factorization.

688264461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24416 (or 24413 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 688264461 is about 26234.7948534003. The cubic root of 688264461 is about 882.9140915802.

The spelling of 688264461 in words is "six hundred eighty-eight million, two hundred sixty-four thousand, four hundred sixty-one".