253680868 has 48 divisors (see below), whose sum is σ = 543763584. Its totient is φ = 101076480.

The previous prime is 253680853. The next prime is 253680871. The reversal of 253680868 is 868086352.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36298 + ... + 42718.

It is an arithmetic number, because the mean of its divisors is an integer number (11328408).

Almost surely, 2^253680868 is an apocalyptic number.

253680868 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 253680868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881792).

253680868 is an abundant number, since it is smaller than the sum of its proper divisors (290082716).

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

253680868 is a wasteful number, since it uses less digits than its factorization.

253680868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 253680868 is about 15927.3622423802. The cubic root of 253680868 is about 633.0372095488.

The spelling of 253680868 in words is "two hundred fifty-three million, six hundred eighty thousand, eight hundred sixty-eight".