4003120 has 40 divisors (see below), whose sum is σ = 10155600. Its totient is φ = 1455360.

The previous prime is 4003099. The next prime is 4003121. The reversal of 4003120 is 213004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 4003097 and 4003106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1395 + ... + 3154.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 2^4003120 is an apocalyptic number.

4003120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003120 is an abundant number, since it is smaller than the sum of its proper divisors (6152480).

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

4003120 is a wasteful number, since it uses less digits than its factorization.

4003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 4003120 is about 2000.7798479593. The cubic root of 4003120 is about 158.7813668980.

Adding to 4003120 its reverse (213004), we get a palindrome (4216124).

The spelling of 4003120 in words is "four million, three thousand, one hundred twenty".