688085657 has 8 divisors (see below), whose sum is σ = 805564032. Its totient is φ = 575402400.

The previous prime is 688085653. The next prime is 688085711. The reversal of 688085657 is 756580886.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 688085657 - 2² = 688085653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 688085599 and 688085608.

It is not an unprimeable number, because it can be changed into a prime (688085653) 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 7 ways as a sum of consecutive naturals, for example, 1198469 + ... + 1199042.

It is an arithmetic number, because the mean of its divisors is an integer number (100695504).

Almost surely, 2^688085657 is an apocalyptic number.

It is an amenable number.

688085657 is a deficient number, since it is larger than the sum of its proper divisors (117478375).

688085657 is a wasteful number, since it uses less digits than its factorization.

688085657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397559.

The product of its (nonzero) digits is 3225600, while the sum is 53.

The square root of 688085657 is about 26231.3868676439. The cubic root of 688085657 is about 882.8376276370.

The spelling of 688085657 in words is "six hundred eighty-eight million, eighty-five thousand, six hundred fifty-seven".