4538160 has 160 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 1094400.

The previous prime is 4538159. The next prime is 4538173. The reversal of 4538160 is 618354.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23665 + ... + 23855.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 2^4538160 is an apocalyptic number.

4538160 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 4538160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

4538160 is an abundant number, since it is smaller than the sum of its proper divisors (12603600).

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

4538160 is a wasteful number, since it uses less digits than its factorization.

4538160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4538160 is about 2130.2957541149. The cubic root of 4538160 is about 165.5617218816.

The spelling of 4538160 in words is "four million, five hundred thirty-eight thousand, one hundred sixty".