536832 has 54 divisors (see below), whose sum is σ = 1554462. Its totient is φ = 178176.

The previous prime is 536803. The next prime is 536839. The reversal of 536832 is 238635.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 147456 = 624^2 + 384^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 536796 and 536805.

It is not an unprimeable number, because it can be changed into a prime (536839) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2188 + ... + 2420.

2⁵³⁶⁸³² 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 536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777231).

536832 is an abundant number, since it is smaller than the sum of its proper divisors (1017630).

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

536832 is a wasteful number, since it uses less digits than its factorization.

536832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 536832 is about 732.6882010787. The cubic root of 536832 is about 81.2729702313.

The spelling of 536832 in words is "five hundred thirty-six thousand, eight hundred thirty-two".