521088 has 64 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 163328.

The previous prime is 521063. The next prime is 521107. The reversal of 521088 is 880125.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

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 521088.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8803 + ... + 8861.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2⁵²¹⁰⁸⁸ 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 521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400).

521088 is an abundant number, since it is smaller than the sum of its proper divisors (947712).

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

521088 is a wasteful number, since it uses less digits than its factorization.

521088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 521088 is about 721.8642531668. The cubic root of 521088 is about 80.4705600718.

521088 divided by its sum of digits (24) gives a palindrome (21712).

The spelling of 521088 in words is "five hundred twenty-one thousand, eighty-eight".