5006820 has 144 divisors (see below), whose sum is σ = 17696448. Its totient is φ = 1048320.

The previous prime is 5006773. The next prime is 5006831. The reversal of 5006820 is 286005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 38155 + ... + 38285.

It is an arithmetic number, because the mean of its divisors is an integer number (122892).

Almost surely, 2^5006820 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 5006820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8848224).

5006820 is an abundant number, since it is smaller than the sum of its proper divisors (12689628).

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

5006820 is a wasteful number, since it uses less digits than its factorization.

5006820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5006820 is about 2237.5924561904. The cubic root of 5006820 is about 171.0753062519.

The spelling of 5006820 in words is "five million, six thousand, eight hundred twenty".