4268768 has 96 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1603584.

The previous prime is 4268743. The next prime is 4268791. The reversal of 4268768 is 8678624.

It is a super-3 number, since 3×4268768³ (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (129024) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72323 + ... + 72381.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^4268768 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 4268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

4268768 is an abundant number, since it is smaller than the sum of its proper divisors (6617632).

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

4268768 is a wasteful number, since it uses less digits than its factorization.

4268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 4268768 is about 2066.0997071778. The cubic root of 4268768 is about 162.2186753740.

The spelling of 4268768 in words is "four million, two hundred sixty-eight thousand, seven hundred sixty-eight".