4211680 has 48 divisors (see below), whose sum is σ = 10859184. Its totient is φ = 1530880.

The previous prime is 4211671. The next prime is 4211681. The reversal of 4211680 is 861124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211681) 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 7 ways as a sum of consecutive naturals, for example, 564 + ... + 2956.

It is an arithmetic number, because the mean of its divisors is an integer number (226233).

Almost surely, 2^4211680 is an apocalyptic number.

4211680 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 4211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429592).

4211680 is an abundant number, since it is smaller than the sum of its proper divisors (6647504).

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

4211680 is a wasteful number, since it uses less digits than its factorization.

4211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 4211680 is about 2052.2378029848. The cubic root of 4211680 is about 161.4922884489.

The spelling of 4211680 in words is "four million, two hundred eleven thousand, six hundred eighty".