4682160 has 120 divisors (see below), whose sum is σ = 17989920. Its totient is φ = 1069056.

The previous prime is 4682149. The next prime is 4682173. The reversal of 4682160 is 612864.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 4576 + ... + 5504.

It is an arithmetic number, because the mean of its divisors is an integer number (149916).

Almost surely, 2^4682160 is an apocalyptic number.

4682160 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 4682160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960).

4682160 is an abundant number, since it is smaller than the sum of its proper divisors (13307760).

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

4682160 is a wasteful number, since it uses less digits than its factorization.

4682160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4682160 is about 2163.8299378648. The cubic root of 4682160 is about 167.2946618712.

It can be divided in two parts, 468 and 2160, that added together give a triangular number (2628 = T₇₂).

The spelling of 4682160 in words is "four million, six hundred eighty-two thousand, one hundred sixty".