4219680 has 96 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 1098752.

The previous prime is 4219673. The next prime is 4219681. The reversal of 4219680 is 869124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4219681) 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, 28246 + ... + 28394.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 2^4219680 is an apocalyptic number.

4219680 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 4219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

4219680 is an abundant number, since it is smaller than the sum of its proper divisors (9388320).

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

4219680 is a wasteful number, since it uses less digits than its factorization.

4219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4219680 is about 2054.1859701595. The cubic root of 4219680 is about 161.5944742090.

It can be divided in two parts, 421 and 9680, that added together give a palindrome (10101).

The spelling of 4219680 in words is "four million, two hundred nineteen thousand, six hundred eighty".