253067688 has 96 divisors (see below), whose sum is σ = 746460000. Its totient is φ = 77148288.

The previous prime is 253067653. The next prime is 253067701. The reversal of 253067688 is 886760352.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36483 + ... + 42861.

It is an arithmetic number, because the mean of its divisors is an integer number (7775625).

Almost surely, 2^253067688 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 253067688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373230000).

253067688 is an abundant number, since it is smaller than the sum of its proper divisors (493392312).

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

253067688 is a wasteful number, since it uses less digits than its factorization.

253067688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 253067688 is about 15908.1013323401. The cubic root of 253067688 is about 632.5267533352.

The spelling of 253067688 in words is "two hundred fifty-three million, sixty-seven thousand, six hundred eighty-eight".