521768 has 32 divisors (see below), whose sum is σ = 1096200. Its totient is φ = 231168.

The previous prime is 521767. The next prime is 521777. The reversal of 521768 is 867125.

It can be written as a sum of positive squares in 4 ways, for example, as 465124 + 56644 = 682^2 + 238^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 521768.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 521768.

It is not an unprimeable number, because it can be changed into a prime (521767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2930 + ... + 3102.

2⁵²¹⁷⁶⁸ is an apocalyptic number.

521768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548100).

521768 is an abundant number, since it is smaller than the sum of its proper divisors (574432).

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

521768 is a wasteful number, since it uses less digits than its factorization.

521768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 521768 is about 722.3351022898. The cubic root of 521768 is about 80.5055485290.

The spelling of 521768 in words is "five hundred twenty-one thousand, seven hundred sixty-eight".