536864 has 24 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 254016.

The previous prime is 536857. The next prime is 536867. The reversal of 536864 is 468635.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 536864.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 536864.

It is not an unprimeable number, because it can be changed into a prime (536867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (46410).

2⁵³⁶⁸⁶⁴ 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 536864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

536864 is an abundant number, since it is smaller than the sum of its proper divisors (576976).

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

536864 is a wasteful number, since it uses less digits than its factorization.

536864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 536864 is about 732.7100381461. The cubic root of 536864 is about 81.2745850651.

The spelling of 536864 in words is "five hundred thirty-six thousand, eight hundred sixty-four".