62268 has 12 divisors (see below), whose sum is σ = 145320. Its totient is φ = 20752.

The previous prime is 62233. The next prime is 62273. The reversal of 62268 is 86226.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 13 and base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

62268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2583 + ... + 2606.

It is an arithmetic number, because the mean of its divisors is an integer number (12110).

2⁶²²⁶⁸ is an apocalyptic number.

It is an amenable number.

62268 is an abundant number, since it is smaller than the sum of its proper divisors (83052).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72660).

62268 is a wasteful number, since it uses less digits than its factorization.

62268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5196 (or 5194 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 62268 is about 249.5355686070. The cubic root of 62268 is about 39.6358618102.

Subtracting from 62268 its product of digits (1152), we obtain a palindrome (61116).

The spelling of 62268 in words is "sixty-two thousand, two hundred sixty-eight".