653268 has 72 divisors (see below), whose sum is σ = 1953504. Its totient is φ = 168000.

The previous prime is 653267. The next prime is 653273. The reversal of 653268 is 862356.

It is a d-powerful number, because it can be written as 6³ + 5⁸ + 2¹⁸ + 3 + 6³ + 8² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6418 + ... + 6518.

It is an arithmetic number, because the mean of its divisors is an integer number (27132).

2⁶⁵³²⁶⁸ 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 653268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752).

653268 is an abundant number, since it is smaller than the sum of its proper divisors (1300236).

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

653268 is a wasteful number, since it uses less digits than its factorization.

653268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

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

The square root of 653268 is about 808.2499613362. The cubic root of 653268 is about 86.7688407062.

It can be divided in two parts, 65 and 3268, that added together give a palindrome (3333).

The spelling of 653268 in words is "six hundred fifty-three thousand, two hundred sixty-eight".