253996128 has 96 divisors (see below), whose sum is σ = 746172000. Its totient is φ = 84054528.

The previous prime is 253996117. The next prime is 253996147. The reversal of 253996128 is 821699352.

253996128 is a `hidden beast` number, since 2 + 539 + 96 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 127750 + ... + 129722.

It is an arithmetic number, because the mean of its divisors is an integer number (7772625).

Almost surely, 2^253996128 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 253996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373086000).

253996128 is an abundant number, since it is smaller than the sum of its proper divisors (492175872).

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

253996128 is a wasteful number, since it uses less digits than its factorization.

253996128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2127 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 253996128 is about 15937.2559746024. The cubic root of 253996128 is about 633.2993350786.

The spelling of 253996128 in words is "two hundred fifty-three million, nine hundred ninety-six thousand, one hundred twenty-eight".