688104 has 48 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 216864.

The previous prime is 688097. The next prime is 688111. The reversal of 688104 is 401886.

It is an interprime number because it is at equal distance from previous prime (688097) and next prime (688111).

It is a super-2 number, since 2×688104² = 946974229632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁶⁸⁸¹⁰⁴ 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 688104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982800).

688104 is an abundant number, since it is smaller than the sum of its proper divisors (1277496).

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

688104 is a wasteful number, since it uses less digits than its factorization.

688104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 688104 is about 829.5203433310. The cubic root of 688104 is about 88.2845472468.

The spelling of 688104 in words is "six hundred eighty-eight thousand, one hundred four".