688616586 has 128 divisors (see below), whose sum is σ = 1871838720. Its totient is φ = 183168000.

The previous prime is 688616549. The next prime is 688616587. The reversal of 688616586 is 685616886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (688616587) 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, 648496 + ... + 649556.

It is an arithmetic number, because the mean of its divisors is an integer number (14623740).

Almost surely, 2^688616586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688616586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935919360).

688616586 is an abundant number, since it is smaller than the sum of its proper divisors (1183222134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

688616586 is a wasteful number, since it uses less digits than its factorization.

688616586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 688616586 is about 26241.5050254363. The cubic root of 688616586 is about 883.0646359992.

The spelling of 688616586 in words is "six hundred eighty-eight million, six hundred sixteen thousand, five hundred eighty-six".