688884 has 48 divisors (see below), whose sum is σ = 1881600. Its totient is φ = 192096.

The previous prime is 688871. The next prime is 688889. The reversal of 688884 is 488886.

It is a super-2 number, since 2×688884² = 949122330912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4887 + ... + 5025.

It is an arithmetic number, because the mean of its divisors is an integer number (39200).

2⁶⁸⁸⁸⁸⁴ 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 688884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940800).

688884 is an abundant number, since it is smaller than the sum of its proper divisors (1192716).

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

688884 is a wasteful number, since it uses less digits than its factorization.

688884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 688884 is about 829.9903613898. The cubic root of 688884 is about 88.3178929541.

The spelling of 688884 in words is "six hundred eighty-eight thousand, eight hundred eighty-four".