4024320 has 96 divisors (see below), whose sum is σ = 12972960. Its totient is φ = 1064960.

The previous prime is 4024309. The next prime is 4024337. The reversal of 4024320 is 234204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 4024320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30655 + ... + 30785.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

Almost surely, 2^4024320 is an apocalyptic number.

4024320 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 4024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486480).

4024320 is an abundant number, since it is smaller than the sum of its proper divisors (8948640).

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

4024320 is a wasteful number, since it uses less digits than its factorization.

4024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4024320 is about 2006.0707863882. The cubic root of 4024320 is about 159.0611686645.

Adding to 4024320 its reverse (234204), we get a palindrome (4258524).

The spelling of 4024320 in words is "four million, twenty-four thousand, three hundred twenty".