4067820 has 108 divisors (see below), whose sum is σ = 13226304. Its totient is φ = 1049760.

The previous prime is 4067813. The next prime is 4067827. The reversal of 4067820 is 287604.

It is an interprime number because it is at equal distance from previous prime (4067813) and next prime (4067827).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4067827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131205 + ... + 131235.

Almost surely, 2^4067820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4067820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613152).

4067820 is an abundant number, since it is smaller than the sum of its proper divisors (9158484).

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

4067820 is an equidigital number, since it uses as much as digits as its factorization.

4067820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4067820 is about 2016.8837348742. The cubic root of 4067820 is about 159.6322282138.

The spelling of 4067820 in words is "four million, sixty-seven thousand, eight hundred twenty".