688900352 has 72 divisors (see below), whose sum is σ = 1622380032. Its totient is φ = 285696000.

The previous prime is 688900349. The next prime is 688900357. The reversal of 688900352 is 253009886.

It is not an unprimeable number, because it can be changed into a prime (688900357) 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 7 ways as a sum of consecutive naturals, for example, 49352 + ... + 61752.

It is an arithmetic number, because the mean of its divisors is an integer number (22533056).

Almost surely, 2^688900352 is an apocalyptic number.

688900352 is a gapful number since it is divisible by the number (62) 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 688900352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811190016).

688900352 is an abundant number, since it is smaller than the sum of its proper divisors (933479680).

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

688900352 is a wasteful number, since it uses less digits than its factorization.

688900352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 688900352 is about 26246.9112849493. The cubic root of 688900352 is about 883.1859174748.

The spelling of 688900352 in words is "six hundred eighty-eight million, nine hundred thousand, three hundred fifty-two".