688319424 has 168 divisors, whose sum is σ = 2192091120. Its totient is φ = 211700736.

The previous prime is 688319417. The next prime is 688319431. The reversal of 688319424 is 424913886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (688319417) and next prime (688319431).

It is a super-3 number, since 3×688319424³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 688319424.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 290854 + ... + 293210.

Almost surely, 2^688319424 is an apocalyptic number.

688319424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096045560).

688319424 is an abundant number, since it is smaller than the sum of its proper divisors (1503771696).

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

688319424 is a wasteful number, since it uses less digits than its factorization.

688319424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2375 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 688319424 is about 26235.8423535437. The cubic root of 688319424 is about 882.9375933582.

The spelling of 688319424 in words is "six hundred eighty-eight million, three hundred nineteen thousand, four hundred twenty-four".