534820 has 72 divisors (see below), whose sum is σ = 1407672. Its totient is φ = 168960.

The previous prime is 534811. The next prime is 534827. The reversal of 534820 is 28435.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 495616 = 198^2 + 704^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 534791 and 534800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534827) by changing a digit.

534820 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 23 ways as a sum of consecutive naturals, for example, 31452 + ... + 31468.

It is an arithmetic number, because the mean of its divisors is an integer number (19551).

2⁵³⁴⁸²⁰ 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 534820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703836).

534820 is an abundant number, since it is smaller than the sum of its proper divisors (872852).

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

534820 is a wasteful number, since it uses less digits than its factorization.

534820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 534820 is about 731.3138860982. The cubic root of 534820 is about 81.1713084263.

534820 divided by its sum of digits (22) gives a triangular number (24310 = T₂₂₀).

The spelling of 534820 in words is "five hundred thirty-four thousand, eight hundred twenty".