536736 has 24 divisors (see below), whose sum is σ = 1409184. Its totient is φ = 178880.

The previous prime is 536729. The next prime is 536743. The reversal of 536736 is 637635.

It is an interprime number because it is at equal distance from previous prime (536729) and next prime (536743).

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

536736 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 3 ways as a sum of consecutive naturals, for example, 2700 + ... + 2891.

It is an arithmetic number, because the mean of its divisors is an integer number (58716).

2⁵³⁶⁷³⁶ is an apocalyptic number.

It is an amenable number.

536736 is an abundant number, since it is smaller than the sum of its proper divisors (872448).

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

536736 is a wasteful number, since it uses less digits than its factorization.

536736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5596 counting only the distinct ones).

The product of its digits is 11340, while the sum is 30.

The square root of 536736 is about 732.6226859714. The cubic root of 536736 is about 81.2681253448.

The spelling of 536736 in words is "five hundred thirty-six thousand, seven hundred thirty-six".