4213680 has 80 divisors (see below), whose sum is σ = 13269984. Its totient is φ = 1105920.

The previous prime is 4213679. The next prime is 4213681. The reversal of 4213680 is 863124.

It is a happy number.

4213680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4213679) and next prime (4213681).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 4213680.

It is not an unprimeable number, because it can be changed into a prime (4213681) 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, 23190 + ... + 23370.

Almost surely, 2^4213680 is an apocalyptic number.

4213680 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 4213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634992).

4213680 is an abundant number, since it is smaller than the sum of its proper divisors (9056304).

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

4213680 is a wasteful number, since it uses less digits than its factorization.

4213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4213680 is about 2052.7250181162. The cubic root of 4213680 is about 161.5178470118.

The spelling of 4213680 in words is "four million, two hundred thirteen thousand, six hundred eighty".