4221168 has 80 divisors (see below), whose sum is σ = 13213440. Its totient is φ = 1133568.

The previous prime is 4221109. The next prime is 4221169. The reversal of 4221168 is 8611224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (768) is a multiple of the sum of its prime divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5343 + ... + 6081.

It is an arithmetic number, because the mean of its divisors is an integer number (165168).

Almost surely, 2^4221168 is an apocalyptic number.

4221168 is a gapful number since it is divisible by the number (48) 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 4221168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606720).

4221168 is an abundant number, since it is smaller than the sum of its proper divisors (8992272).

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

4221168 is a wasteful number, since it uses less digits than its factorization.

4221168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 4221168 is about 2054.5481255011. The cubic root of 4221168 is about 161.6134665117.

The spelling of 4221168 in words is "four million, two hundred twenty-one thousand, one hundred sixty-eight".