4021680 has 80 divisors (see below), whose sum is σ = 13436640. Its totient is φ = 989184.

The previous prime is 4021663. The next prime is 4021727. The reversal of 4021680 is 861204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2476 + ... + 3764.

It is an arithmetic number, because the mean of its divisors is an integer number (167958).

Almost surely, 2^4021680 is an apocalyptic number.

4021680 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 4021680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718320).

4021680 is an abundant number, since it is smaller than the sum of its proper divisors (9414960).

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

4021680 is a wasteful number, since it uses less digits than its factorization.

4021680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4021680 is about 2005.4126757353. The cubic root of 4021680 is about 159.0263790733.

Adding to 4021680 its reverse (861204), we get a palindrome (4882884).

The spelling of 4021680 in words is "four million, twenty-one thousand, six hundred eighty".