4221680 has 40 divisors (see below), whose sum is σ = 9923472. Its totient is φ = 1670144.

The previous prime is 4221677. The next prime is 4221683. The reversal of 4221680 is 861224.

It is an interprime number because it is at equal distance from previous prime (4221677) and next prime (4221683).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221683) 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, 8807 + ... + 9273.

Almost surely, 2^4221680 is an apocalyptic number.

4221680 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 4221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961736).

4221680 is an abundant number, since it is smaller than the sum of its proper divisors (5701792).

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

4221680 is a wasteful number, since it uses less digits than its factorization.

4221680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4221680 is about 2054.6727233309. The cubic root of 4221680 is about 161.6200004654.

The spelling of 4221680 in words is "four million, two hundred twenty-one thousand, six hundred eighty".