4878160 has 80 divisors (see below), whose sum is σ = 13427712. Its totient is φ = 1612800.

The previous prime is 4878151. The next prime is 4878163. The reversal of 4878160 is 618784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4878163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17220 + ... + 17500.

Almost surely, 2^4878160 is an apocalyptic number.

4878160 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 4878160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713856).

4878160 is an abundant number, since it is smaller than the sum of its proper divisors (8549552).

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

4878160 is a wasteful number, since it uses less digits than its factorization.

4878160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 4878160 is about 2208.6556997414. The cubic root of 4878160 is about 169.5972009150.

Subtracting from 4878160 its sum of digits (34), we obtain a triangular number (4878126 = T₃₁₂₃).

It can be divided in two parts, 48781 and 60, that added together give a square (48841 = 221²).

The spelling of 4878160 in words is "four million, eight hundred seventy-eight thousand, one hundred sixty".