4268320 has 96 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 1410048.

The previous prime is 4268311. The next prime is 4268321. The reversal of 4268320 is 238624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41389 + ... + 41491.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 2^4268320 is an apocalyptic number.

4268320 is a gapful number since it is divisible by the number (40) 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 4268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

4268320 is an abundant number, since it is smaller than the sum of its proper divisors (7682528).

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

4268320 is a wasteful number, since it uses less digits than its factorization.

4268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4268320 is about 2065.9912874937. The cubic root of 4268320 is about 162.2130003167.

It can be divided in two parts, 4 and 268320, that added together give a square (268324 = 518²).

The spelling of 4268320 in words is "four million, two hundred sixty-eight thousand, three hundred twenty".