5268768 has 48 divisors (see below), whose sum is σ = 14043456. Its totient is φ = 1729280.

The previous prime is 5268761. The next prime is 5268773. The reversal of 5268768 is 8678625.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5268761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6430 + ... + 7202.

It is an arithmetic number, because the mean of its divisors is an integer number (292572).

Almost surely, 2^5268768 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 5268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021728).

5268768 is an abundant number, since it is smaller than the sum of its proper divisors (8774688).

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

5268768 is a wasteful number, since it uses less digits than its factorization.

5268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 5268768 is about 2295.3797071509. The cubic root of 5268768 is about 174.0081909211.

The spelling of 5268768 in words is "five million, two hundred sixty-eight thousand, seven hundred sixty-eight".