536844 has 72 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 137760.

The previous prime is 536839. The next prime is 536849. The reversal of 536844 is 448635.

It is an interprime number because it is at equal distance from previous prime (536839) and next prime (536849).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (536849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6427 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2⁵³⁶⁸⁴⁴ is an apocalyptic number.

536844 is the 392-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

536844 is an abundant number, since it is smaller than the sum of its proper divisors (1071924).

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

536844 is a wasteful number, since it uses less digits than its factorization.

536844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 536844 is about 732.6963900553. The cubic root of 536844 is about 81.2735758015.

Subtracting from 536844 its reverse (448635), we obtain a square (88209 = 297²).

The spelling of 536844 in words is "five hundred thirty-six thousand, eight hundred forty-four".