5587820 has 48 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 1896384.

The previous prime is 5587811. The next prime is 5587823. The reversal of 5587820 is 287855.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5587823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23261 + ... + 23499.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 2^5587820 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 5587820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

5587820 is an abundant number, since it is smaller than the sum of its proper divisors (7959700).

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

5587820 is a wasteful number, since it uses less digits than its factorization.

5587820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 5587820 is about 2363.8570176726. The cubic root of 5587820 is about 177.4519608144.

Adding to 5587820 its sum of digits (35), we get a palindrome (5587855).

It can be divided in two parts, 5 and 587820, that multiplied together give a triangular number (2939100 = T₂₄₂₄).

The spelling of 5587820 in words is "five million, five hundred eighty-seven thousand, eight hundred twenty".