4124320 has 48 divisors (see below), whose sum is σ = 9865800. Its totient is φ = 1629184.

The previous prime is 4124317. The next prime is 4124321. The reversal of 4124320 is 234214.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 753424 = 1836^2 + 868^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4124294 and 4124303.

It is not an unprimeable number, because it can be changed into a prime (4124321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23754 + ... + 23926.

Almost surely, 2^4124320 is an apocalyptic number.

4124320 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 4124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932900).

4124320 is an abundant number, since it is smaller than the sum of its proper divisors (5741480).

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

4124320 is a wasteful number, since it uses less digits than its factorization.

4124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4124320 is about 2030.8421898316. The cubic root of 4124320 is about 160.3679033959.

Adding to 4124320 its reverse (234214), we get a palindrome (4358534).

It can be divided in two parts, 4124 and 320, that added together give a palindrome (4444).

The spelling of 4124320 in words is "four million, one hundred twenty-four thousand, three hundred twenty".