253680768 has 128 divisors (see below), whose sum is σ = 816897600. Its totient is φ = 76861440.

The previous prime is 253680727. The next prime is 253680773. The reversal of 253680768 is 867086352.

253680768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34680 + ... + 41352.

Almost surely, 2^253680768 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 253680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408448800).

253680768 is an abundant number, since it is smaller than the sum of its proper divisors (563216832).

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

253680768 is a wasteful number, since it uses less digits than its factorization.

253680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707 (or 6689 counting only the distinct ones).

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

The square root of 253680768 is about 15927.3591031282. The cubic root of 253680768 is about 633.0371263685.

The spelling of 253680768 in words is "two hundred fifty-three million, six hundred eighty thousand, seven hundred sixty-eight".