688589424 has 100 divisors (see below), whose sum is σ = 2041744320. Its totient is φ = 223914240.

The previous prime is 688589423. The next prime is 688589441. The reversal of 688589424 is 424985886.

688589424 is a `hidden beast` number, since 68 + 85 + 89 + 424 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688589423) 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 19 ways as a sum of consecutive naturals, for example, 46657 + ... + 59615.

Almost surely, 2^688589424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688589424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020872160).

688589424 is an abundant number, since it is smaller than the sum of its proper divisors (1353154896).

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

688589424 is a wasteful number, since it uses less digits than its factorization.

688589424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13020 (or 13005 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 688589424 is about 26240.9874814192. The cubic root of 688589424 is about 883.0530252240.

The spelling of 688589424 in words is "six hundred eighty-eight million, five hundred eighty-nine thousand, four hundred twenty-four".