522816 has 56 divisors (see below), whose sum is σ = 1584960. Its totient is φ = 148992.

The previous prime is 522811. The next prime is 522827. The reversal of 522816 is 618225.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (522811) by changing a digit.

522816 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, 1150 + ... + 1538.

2⁵²²⁸¹⁶ is an apocalyptic number.

522816 is a gapful number since it is divisible by the number (56) 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 522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792480).

522816 is an abundant number, since it is smaller than the sum of its proper divisors (1062144).

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

522816 is a wasteful number, since it uses less digits than its factorization.

522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 522816 is about 723.0601634719. The cubic root of 522816 is about 80.5594124370.

Adding to 522816 its product of digits (960), we get a triangular number (523776 = T₁₀₂₃).

The spelling of 522816 in words is "five hundred twenty-two thousand, eight hundred sixteen".