536960 has 32 divisors (see below), whose sum is σ = 1285200. Its totient is φ = 214528.

The previous prime is 536953. The next prime is 536971. The reversal of 536960 is 69635.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 14.

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 536960.

It is an unprimeable 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, 221 + ... + 1059.

2⁵³⁶⁹⁶⁰ 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 536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642600).

536960 is an abundant number, since it is smaller than the sum of its proper divisors (748240).

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

536960 is an equidigital number, since it uses as much as digits as its factorization.

536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 536960 is about 732.7755454435. The cubic root of 536960 is about 81.2794291815.

The spelling of 536960 in words is "five hundred thirty-six thousand, nine hundred sixty".