681088 has 32 divisors (see below), whose sum is σ = 1441260. Its totient is φ = 319488.

The previous prime is 681067. The next prime is 681089. The reversal of 681088 is 880186.

It can be written as a sum of positive squares in 2 ways, for example, as 652864 + 28224 = 808^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (681089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2020 + ... + 2332.

2⁶⁸¹⁰⁸⁸ is an apocalyptic number.

681088 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720630).

681088 is an abundant number, since it is smaller than the sum of its proper divisors (760172).

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

681088 is a wasteful number, since it uses less digits than its factorization.

681088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 681088 is about 825.2805583558. The cubic root of 681088 is about 87.9834679688.

It can be divided in two parts, 68 and 1088, that multiplied together give a square (73984 = 272²).

The spelling of 681088 in words is "six hundred eighty-one thousand, eighty-eight".