681252 has 48 divisors (see below), whose sum is σ = 1872192. Its totient is φ = 190080.

The previous prime is 681251. The next prime is 681253. The reversal of 681252 is 252186.

It is an interprime number because it is at equal distance from previous prime (681251) and next prime (681253).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 681252.

It is not an unprimeable number, because it can be changed into a prime (681251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518 + ... + 1914.

It is an arithmetic number, because the mean of its divisors is an integer number (39004).

2⁶⁸¹²⁵² 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 681252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936096).

681252 is an abundant number, since it is smaller than the sum of its proper divisors (1190940).

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

681252 is a wasteful number, since it uses less digits than its factorization.

681252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 681252 is about 825.3799125251. The cubic root of 681252 is about 87.9905292838.

The spelling of 681252 in words is "six hundred eighty-one thousand, two hundred fifty-two".