5084820 has 144 divisors (see below), whose sum is σ = 17336592. Its totient is φ = 1198080.

The previous prime is 5084813. The next prime is 5084843. The reversal of 5084820 is 284805.

It can be written as a sum of positive squares in 8 ways, for example, as 898704 + 4186116 = 948^2 + 2046^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95914 + ... + 95966.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 2^5084820 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 5084820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296).

5084820 is an abundant number, since it is smaller than the sum of its proper divisors (12251772).

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

5084820 is a wasteful number, since it uses less digits than its factorization.

5084820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5084820 is about 2254.9545449964. The cubic root of 5084820 is about 171.9591123289.

The spelling of 5084820 in words is "five million, eighty-four thousand, eight hundred twenty".