536820 has 48 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 136576.

The previous prime is 536803. The next prime is 536839. The reversal of 536820 is 28635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁵³⁶⁸²⁰ 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 536820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

536820 is an abundant number, since it is smaller than the sum of its proper divisors (1035660).

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

536820 is a wasteful number, since it uses less digits than its factorization.

536820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 536820 is about 732.6800120107. The cubic root of 536820 is about 81.2723646521.

The spelling of 536820 in words is "five hundred thirty-six thousand, eight hundred twenty".