688820832 has 288 divisors, whose sum is σ = 2411136000. Its totient is φ = 185939712.

The previous prime is 688820791. The next prime is 688820833. The reversal of 688820832 is 238028886.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688820833) 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 47 ways as a sum of consecutive naturals, for example, 1876713 + ... + 1877079.

It is an arithmetic number, because the mean of its divisors is an integer number (8372000).

Almost surely, 2^688820832 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 688820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205568000).

688820832 is an abundant number, since it is smaller than the sum of its proper divisors (1722315168).

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

688820832 is a wasteful number, since it uses less digits than its factorization.

688820832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 688820832 is about 26245.3963963206. The cubic root of 688820832 is about 883.1519340178.

It can be divided in two parts, 68 and 8820832, that added together give a square (8820900 = 2970²).

The spelling of 688820832 in words is "six hundred eighty-eight million, eight hundred twenty thousand, eight hundred thirty-two".