4052160 has 224 divisors, whose sum is σ = 16581120. Its totient is φ = 912384.

The previous prime is 4052107. The next prime is 4052173. The reversal of 4052160 is 612504.

It is a happy number.

4052160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60447 + ... + 60513.

Almost surely, 2^4052160 is an apocalyptic number.

4052160 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 4052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8290560).

4052160 is an abundant number, since it is smaller than the sum of its proper divisors (12528960).

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

4052160 is a wasteful number, since it uses less digits than its factorization.

4052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4052160 is about 2012.9977645293. The cubic root of 4052160 is about 159.4271179029.

Adding to 4052160 its reverse (612504), we get a palindrome (4664664).

The spelling of 4052160 in words is "four million, fifty-two thousand, one hundred sixty".