688545792 has 224 divisors, whose sum is σ = 2233330560. Its totient is φ = 207912960.

The previous prime is 688545787. The next prime is 688545797. The reversal of 688545792 is 297545886.

688545792 is a `hidden beast` number, since 6 + 8 + 8 + 545 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (688545787) and next prime (688545797).

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 (688545797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2432883 + ... + 2433165.

Almost surely, 2^688545792 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 688545792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116665280).

688545792 is an abundant number, since it is smaller than the sum of its proper divisors (1544784768).

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

688545792 is a wasteful number, since it uses less digits than its factorization.

688545792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 688545792 is about 26240.1560970967. The cubic root of 688545792 is about 883.0343734789.

The spelling of 688545792 in words is "six hundred eighty-eight million, five hundred forty-five thousand, seven hundred ninety-two".