253368 has 80 divisors (see below), whose sum is σ = 784080. Its totient is φ = 76032.

The previous prime is 253367. The next prime is 253369. The reversal of 253368 is 863352.

It is an interprime number because it is at equal distance from previous prime (253367) and next prime (253369).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4320) is a multiple of the sum of its prime divisors (45).

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 253368.

It is not an unprimeable number, because it can be changed into a prime (253361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11005 + ... + 11027.

It is an arithmetic number, because the mean of its divisors is an integer number (9801).

2²⁵³³⁶⁸ 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 253368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392040).

253368 is an abundant number, since it is smaller than the sum of its proper divisors (530712).

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

253368 is a wasteful number, since it uses less digits than its factorization.

253368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 45 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 253368 is about 503.3567323479. The cubic root of 253368 is about 63.2776858075.

It can be divided in two parts, 2533 and 68, that added together give a square (2601 = 51²).

The spelling of 253368 in words is "two hundred fifty-three thousand, three hundred sixty-eight".