4087820 has 48 divisors (see below), whose sum is σ = 9924768. Its totient is φ = 1397760.

The previous prime is 4087807. The next prime is 4087829. The reversal of 4087820 is 287804.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4087829) 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, 3194 + ... + 4286.

It is an arithmetic number, because the mean of its divisors is an integer number (206766).

Almost surely, 2^4087820 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 4087820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962384).

4087820 is an abundant number, since it is smaller than the sum of its proper divisors (5836948).

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

4087820 is a wasteful number, since it uses less digits than its factorization.

4087820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 4087820 is about 2021.8357994654. The cubic root of 4087820 is about 159.8934186016.

It can be divided in two parts, 408 and 7820, that added together give a palindrome (8228).

The spelling of 4087820 in words is "four million, eighty-seven thousand, eight hundred twenty".