4217160 has 64 divisors (see below), whose sum is σ = 12804480. Its totient is φ = 1111040.

The previous prime is 4217159. The next prime is 4217167. The reversal of 4217160 is 617124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13405 + ... + 13715.

It is an arithmetic number, because the mean of its divisors is an integer number (200070).

Almost surely, 2^4217160 is an apocalyptic number.

4217160 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 4217160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402240).

4217160 is an abundant number, since it is smaller than the sum of its proper divisors (8587320).

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

4217160 is a wasteful number, since it uses less digits than its factorization.

4217160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 4217160 is about 2053.5724968941. The cubic root of 4217160 is about 161.5622996392.

The spelling of 4217160 in words is "four million, two hundred seventeen thousand, one hundred sixty".