688900 has 27 divisors (see below), whose sum is σ = 1513141. Its totient is φ = 272240.

The previous prime is 688889. The next prime is 688907. The reversal of 688900 is 9886.

The square root of 688900 is 830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 440896 = 498^2 + 664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (688907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8259 + ... + 8341.

2⁶⁸⁸⁹⁰⁰ is an apocalyptic number.

688900 is the 830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688900

688900 is an abundant number, since it is smaller than the sum of its proper divisors (824241).

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

688900 is a wasteful number, since it uses less digits than its factorization.

688900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 688900 is about 88.3185767051.

The spelling of 688900 in words is "six hundred eighty-eight thousand, nine hundred".