4120320 has 144 divisors (see below), whose sum is σ = 13980960. Its totient is φ = 1032192.

The previous prime is 4120313. The next prime is 4120331. The reversal of 4120320 is 230214.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4120296 and 4120305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111342 + ... + 111378.

It is an arithmetic number, because the mean of its divisors is an integer number (97090).

Almost surely, 2^4120320 is an apocalyptic number.

4120320 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 4120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990480).

4120320 is an abundant number, since it is smaller than the sum of its proper divisors (9860640).

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

4120320 is a wasteful number, since it uses less digits than its factorization.

4120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4120320 is about 2029.8571378301. The cubic root of 4120320 is about 160.3160419898.

Adding to 4120320 its reverse (230214), we get a palindrome (4350534).

The spelling of 4120320 in words is "four million, one hundred twenty thousand, three hundred twenty".