253968 has 80 divisors (see below), whose sum is σ = 791616. Its totient is φ = 69120.

The previous prime is 253951. The next prime is 253969. The reversal of 253968 is 869352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (12960) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (253969) 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, 6846 + ... + 6882.

2²⁵³⁹⁶⁸ 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 253968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395808).

253968 is an abundant number, since it is smaller than the sum of its proper divisors (537648).

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

253968 is a wasteful number, since it uses less digits than its factorization.

253968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 253968 is about 503.9523787026. The cubic root of 253968 is about 63.3275956637.

It can be divided in two parts, 253 and 968, that added together give a palindrome (1221).

The spelling of 253968 in words is "two hundred fifty-three thousand, nine hundred sixty-eight".