253021968 has 100 divisors (see below), whose sum is σ = 739952268. Its totient is φ = 83462400.

The previous prime is 253021943. The next prime is 253021981. The reversal of 253021968 is 869120352.

It can be written as a sum of positive squares in 2 ways, for example, as 214681104 + 38340864 = 14652^2 + 6192^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 129930 + ... + 131862.

Almost surely, 2^253021968 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 253021968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369976134).

253021968 is an abundant number, since it is smaller than the sum of its proper divisors (486930300).

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

253021968 is a wasteful number, since it uses less digits than its factorization.

253021968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 253021968 is about 15906.6642637606. The cubic root of 253021968 is about 632.4886596206.

The spelling of 253021968 in words is "two hundred fifty-three million, twenty-one thousand, nine hundred sixty-eight".