53268 has 24 divisors (see below), whose sum is σ = 130368. Its totient is φ = 16896.

The previous prime is 53267. The next prime is 53269. The reversal of 53268 is 86235.

It is an interprime number because it is at equal distance from previous prime (53267) and next prime (53269).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53267) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 180 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (5432).

2⁵³²⁶⁸ 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 53268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65184).

53268 is an abundant number, since it is smaller than the sum of its proper divisors (77100).

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

53268 is a wasteful number, since it uses less digits than its factorization.

53268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 53268 is about 230.7986135140. The cubic root of 53268 is about 37.6260646196.

The spelling of 53268 in words is "fifty-three thousand, two hundred sixty-eight".