4188160 has 48 divisors (see below), whose sum is σ = 10073700. Its totient is φ = 1671168.

The previous prime is 4188133. The next prime is 4188161. The reversal of 4188160 is 618814.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 123904 = 2016^2 + 352^2 .

It is an Ulam number.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4188161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10036 + ... + 10444.

Almost surely, 2^4188160 is an apocalyptic number.

4188160 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 4188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036850).

4188160 is an abundant number, since it is smaller than the sum of its proper divisors (5885540).

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

4188160 is an equidigital number, since it uses as much as digits as its factorization.

4188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 4188160 is about 2046.4994502809. The cubic root of 4188160 is about 161.1911108399.

The spelling of 4188160 in words is "four million, one hundred eighty-eight thousand, one hundred sixty".