688007967 has 16 divisors (see below), whose sum is σ = 934951680. Its totient is φ = 449952192.

The previous prime is 688007953. The next prime is 688008001. The reversal of 688007967 is 769700886.

It is a happy number.

It is not a de Polignac number, because 688007967 - 2¹¹ = 688005919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688009967) 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 15 ways as a sum of consecutive naturals, for example, 22659 + ... + 43467.

It is an arithmetic number, because the mean of its divisors is an integer number (58434480).

Almost surely, 2^688007967 is an apocalyptic number.

688007967 is a deficient number, since it is larger than the sum of its proper divisors (246943713).

688007967 is a wasteful number, since it uses less digits than its factorization.

688007967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21022.

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 688007967 is about 26229.9059662821. The cubic root of 688007967 is about 882.8044000700.

It can be divided in two parts, 68800 and 7967, that added together give a palindrome (76767).

The spelling of 688007967 in words is "six hundred eighty-eight million, seven thousand, nine hundred sixty-seven".