536712 has 64 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 152640.

The previous prime is 536699. The next prime is 536717. The reversal of 536712 is 217635.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536717) by changing a digit.

536712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 4963 + ... + 5069.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2⁵³⁶⁷¹² 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 536712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

536712 is an abundant number, since it is smaller than the sum of its proper divisors (1018488).

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

536712 is a wasteful number, since it uses less digits than its factorization.

536712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 536712 is about 732.6063062792. The cubic root of 536712 is about 81.2669140330.

The spelling of 536712 in words is "five hundred thirty-six thousand, seven hundred twelve".