681772 has 24 divisors (see below), whose sum is σ = 1469216. Its totient is φ = 269568.

The previous prime is 681763. The next prime is 681773. The reversal of 681772 is 277186.

It is a happy number.

681772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (681773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573 + ... + 1300.

2⁶⁸¹⁷⁷² is an apocalyptic number.

It is an amenable number.

681772 is an abundant number, since it is smaller than the sum of its proper divisors (787444).

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

681772 is a wasteful number, since it uses less digits than its factorization.

681772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1895 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 681772 is about 825.6948588916. The cubic root of 681772 is about 88.0129113287.

It can be divided in two parts, 6817 and 72, that added together give a square (6889 = 83²).

The spelling of 681772 in words is "six hundred eighty-one thousand, seven hundred seventy-two".