536268 has 48 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 162624.

The previous prime is 536267. The next prime is 536273. The reversal of 536268 is 862635.

It is a d-powerful number, because it can be written as 5⁴ + 3¹² + 2¹² + 6 + 6² + 8² .

It is not an unprimeable number, because it can be changed into a prime (536267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7971 + ... + 8037.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2⁵³⁶²⁶⁸ is an apocalyptic number.

536268 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

536268 is an abundant number, since it is smaller than the sum of its proper divisors (834612).

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

536268 is a wasteful number, since it uses less digits than its factorization.

536268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 536268 is about 732.3032158881. The cubic root of 536268 is about 81.2444982468.

The spelling of 536268 in words is "five hundred thirty-six thousand, two hundred sixty-eight".