521888 has 24 divisors (see below), whose sum is σ = 1052352. Its totient is φ = 254656.

The previous prime is 521887. The next prime is 521897. The reversal of 521888 is 888125.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 521888.

It is not an unprimeable number, because it can be changed into a prime (521881) 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 3 ways as a sum of consecutive naturals, for example, 1331 + ... + 1677.

It is an arithmetic number, because the mean of its divisors is an integer number (43848).

2⁵²¹⁸⁸⁸ 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 521888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176).

521888 is an abundant number, since it is smaller than the sum of its proper divisors (530464).

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

521888 is a wasteful number, since it uses less digits than its factorization.

521888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 5120, while the sum is 32.

The square root of 521888 is about 722.4181614550. The cubic root of 521888 is about 80.5117198065.

The spelling of 521888 in words is "five hundred twenty-one thousand, eight hundred eighty-eight".