681732 has 36 divisors (see below), whose sum is σ = 1785420. Its totient is φ = 219072.

The previous prime is 681731. The next prime is 681763. The reversal of 681732 is 237186.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 427716 = 504^2 + 654^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 681696 and 681705.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 681732.

It is not an unprimeable number, because it can be changed into a prime (681731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (49595).

2⁶⁸¹⁷³² 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 681732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892710).

681732 is an abundant number, since it is smaller than the sum of its proper divisors (1103688).

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

681732 is a wasteful number, since it uses less digits than its factorization.

681732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 687 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 681732 is about 825.6706365131. The cubic root of 681732 is about 88.0111900371.

The spelling of 681732 in words is "six hundred eighty-one thousand, seven hundred thirty-two".