4220160 has 144 divisors (see below), whose sum is σ = 15501696. Its totient is φ = 958464.

The previous prime is 4220143. The next prime is 4220173. The reversal of 4220160 is 610224.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26802 + ... + 26958.

Almost surely, 2^4220160 is an apocalyptic number.

4220160 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 4220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750848).

4220160 is an abundant number, since it is smaller than the sum of its proper divisors (11281536).

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

4220160 is a wasteful number, since it uses less digits than its factorization.

4220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4220160 is about 2054.3028014390. The cubic root of 4220160 is about 161.6006012460.

Adding to 4220160 its reverse (610224), we get a palindrome (4830384).

It can be divided in two parts, 42 and 20160, that added together give a palindrome (20202).

The spelling of 4220160 in words is "four million, two hundred twenty thousand, one hundred sixty".