253713168 has 160 divisors (see below), whose sum is σ = 779414400. Its totient is φ = 78741504.

The previous prime is 253713149. The next prime is 253713193. The reversal of 253713168 is 861317352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1314480 + ... + 1314672.

It is an arithmetic number, because the mean of its divisors is an integer number (4871340).

Almost surely, 2^253713168 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 253713168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389707200).

253713168 is an abundant number, since it is smaller than the sum of its proper divisors (525701232).

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

253713168 is a wasteful number, since it uses less digits than its factorization.

253713168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 253713168 is about 15928.3761884255. The cubic root of 253713168 is about 633.0640756323.

The spelling of 253713168 in words is "two hundred fifty-three million, seven hundred thirteen thousand, one hundred sixty-eight".