688096 has 12 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 344032.

The previous prime is 688087. The next prime is 688097. The reversal of 688096 is 690886.

It is a super-2 number, since 2×688096² = 946952210432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688097) by changing a digit.

688096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10720 + ... + 10783.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

2⁶⁸⁸⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

688096 is a deficient number, since it is larger than the sum of its proper divisors (666656).

688096 is a wasteful number, since it uses less digits than its factorization.

688096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21513 (or 21505 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 688096 is about 829.5155212532. The cubic root of 688096 is about 88.2842051090.

The spelling of 688096 in words is "six hundred eighty-eight thousand, ninety-six".