688882000 has 160 divisors (see below), whose sum is σ = 1767886848. Its totient is φ = 259200000.

The previous prime is 688881997. The next prime is 688882001. The reversal of 688882000 is 288886.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688882001) 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 31 ways as a sum of consecutive naturals, for example, 2541865 + ... + 2542135.

Almost surely, 2^688882000 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 688882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883943424).

688882000 is an abundant number, since it is smaller than the sum of its proper divisors (1079004848).

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

688882000 is a wasteful number, since it uses less digits than its factorization.

688882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 688882000 is about 26246.5616795801. The cubic root of 688882000 is about 883.1780748447.

It can be divided in two parts, 6888 and 82000, that added together give a palindrome (88888).

The spelling of 688882000 in words is "six hundred eighty-eight million, eight hundred eighty-two thousand".