4053120 has 64 divisors (see below), whose sum is σ = 12925440. Its totient is φ = 1080320.

The previous prime is 4053113. The next prime is 4053121. The reversal of 4053120 is 213504.

It is a tau number, because it is divible by the number of its divisors (64).

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 self number, because there is not a number n which added to its sum of digits gives 4053120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053121) 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, 865 + ... + 2975.

It is an arithmetic number, because the mean of its divisors is an integer number (201960).

Almost surely, 2^4053120 is an apocalyptic number.

4053120 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 4053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462720).

4053120 is an abundant number, since it is smaller than the sum of its proper divisors (8872320).

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

4053120 is a wasteful number, since it uses less digits than its factorization.

4053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4053120 is about 2013.2362007474. The cubic root of 4053120 is about 159.4397069047.

Adding to 4053120 its reverse (213504), we get a palindrome (4266624).

The spelling of 4053120 in words is "four million, fifty-three thousand, one hundred twenty".