533520 has 160 divisors (see below), whose sum is σ = 2083200. Its totient is φ = 124416.

The previous prime is 533509. The next prime is 533543. The reversal of 533520 is 25335.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 533493 and 533502.

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 533520.

It is an unprimeable number.

533520 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 31 ways as a sum of consecutive naturals, for example, 28071 + ... + 28089.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2⁵³³⁵²⁰ 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 533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041600).

533520 is an abundant number, since it is smaller than the sum of its proper divisors (1549680).

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

533520 is a wasteful number, since it uses less digits than its factorization.

533520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 533520 is about 730.4245340896. The cubic root of 533520 is about 81.1054867072.

Adding to 533520 its reverse (25335), we get a palindrome (558855).

The spelling of 533520 in words is "five hundred thirty-three thousand, five hundred twenty".