521968 has 40 divisors (see below), whose sum is σ = 1138320. Its totient is φ = 230400.

The previous prime is 521929. The next prime is 521981. The reversal of 521968 is 869125.

521968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

521968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5118 + ... + 5218.

It is an arithmetic number, because the mean of its divisors is an integer number (28458).

2⁵²¹⁹⁶⁸ 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 521968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569160).

521968 is an abundant number, since it is smaller than the sum of its proper divisors (616352).

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

521968 is a wasteful number, since it uses less digits than its factorization.

521968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 521968 is about 722.4735289268. The cubic root of 521968 is about 80.5158334659.

The spelling of 521968 in words is "five hundred twenty-one thousand, nine hundred sixty-eight".