533820 has 96 divisors (see below), whose sum is σ = 1806336. Its totient is φ = 115200.

The previous prime is 533809. The next prime is 533821. The reversal of 533820 is 28335.

533820 = T₉₉ + T₁₀₀ + ... + T₁₆₀.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

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 533820.

It is not an unprimeable number, because it can be changed into a prime (533821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13000 + ... + 13040.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2⁵³³⁸²⁰ 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 533820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903168).

533820 is an abundant number, since it is smaller than the sum of its proper divisors (1272516).

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

533820 is a wasteful number, since it uses less digits than its factorization.

533820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 533820 is about 730.6298652533. The cubic root of 533820 is about 81.1206858167.

The spelling of 533820 in words is "five hundred thirty-three thousand, eight hundred twenty".