4020160 has 56 divisors (see below), whose sum is σ = 10149840. Its totient is φ = 1511424.

The previous prime is 4020157. The next prime is 4020167. The reversal of 4020160 is 610204.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 4020160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5071 + ... + 5809.

Almost surely, 2^4020160 is an apocalyptic number.

4020160 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 4020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074920).

4020160 is an abundant number, since it is smaller than the sum of its proper divisors (6129680).

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

4020160 is a wasteful number, since it uses less digits than its factorization.

4020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4020160 is about 2005.0336655528. The cubic root of 4020160 is about 159.0063417958.

Adding to 4020160 its reverse (610204), we get a palindrome (4630364).

The spelling of 4020160 in words is "four million, twenty thousand, one hundred sixty".