253122688 has 128 divisors (see below), whose sum is σ = 641571840. Its totient is φ = 96768000.

The previous prime is 253122677. The next prime is 253122691. The reversal of 253122688 is 886221352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360738 + ... + 361438.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2^253122688 is an apocalyptic number.

253122688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

253122688 is an abundant number, since it is smaller than the sum of its proper divisors (388449152).

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

253122688 is a wasteful number, since it uses less digits than its factorization.

253122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 754 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 253122688 is about 15909.8299173813. The cubic root of 253122688 is about 632.5725730284.

The spelling of 253122688 in words is "two hundred fifty-three million, one hundred twenty-two thousand, six hundred eighty-eight".