681352 has 32 divisors (see below), whose sum is σ = 1526400. Its totient is φ = 279312.

The previous prime is 681341. The next prime is 681361. The reversal of 681352 is 253186.

It is a happy number.

Its product of digits (1440) is a multiple of the sum of its prime divisors (32).

It is an unprimeable number.

681352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29613 + ... + 29635.

It is an arithmetic number, because the mean of its divisors is an integer number (47700).

681352 is a Friedman number, since it can be written as (52-6)^3*(8-1), using all its digits and the basic arithmetic operations.

2⁶⁸¹³⁵² 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 681352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763200).

681352 is an abundant number, since it is smaller than the sum of its proper divisors (845048).

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

681352 is an equidigital number, since it uses as much as digits as its factorization.

681352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 32 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 681352 is about 825.4404884666. The cubic root of 681352 is about 87.9948344075.

The spelling of 681352 in words is "six hundred eighty-one thousand, three hundred fifty-two".