536724 has 36 divisors (see below), whose sum is σ = 1438164. Its totient is φ = 168192.

The previous prime is 536719. The next prime is 536729. The reversal of 536724 is 427635.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (536719) and next prime (536729).

It can be written as a sum of positive squares in 2 ways, for example, as 435600 + 101124 = 660^2 + 318^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 536724.

It is not an unprimeable number, because it can be changed into a prime (536729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (39949).

2⁵³⁶⁷²⁴ 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 536724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719082).

536724 is an abundant number, since it is smaller than the sum of its proper divisors (901440).

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

536724 is a wasteful number, since it uses less digits than its factorization.

536724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 899 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 536724 is about 732.6144961711. The cubic root of 536724 is about 81.2675196934.

The spelling of 536724 in words is "five hundred thirty-six thousand, seven hundred twenty-four".