253896768 has 280 divisors, whose sum is σ = 827605152. Its totient is φ = 76640256.

The previous prime is 253896763. The next prime is 253896779. The reversal of 253896768 is 867698352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253896763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3789471 + ... + 3789537.

Almost surely, 2^253896768 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 253896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413802576).

253896768 is an abundant number, since it is smaller than the sum of its proper divisors (573708384).

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

253896768 is a wasteful number, since it uses less digits than its factorization.

253896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 253896768 is about 15934.1384454887. The cubic root of 253896768 is about 633.2167448054.

The spelling of 253896768 in words is "two hundred fifty-three million, eight hundred ninety-six thousand, seven hundred sixty-eight".