5209920 has 168 divisors, whose sum is σ = 18861024. Its totient is φ = 1368576.

The previous prime is 5209913. The next prime is 5209943. The reversal of 5209920 is 299025.

5209920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77727 + ... + 77793.

It is an arithmetic number, because the mean of its divisors is an integer number (112268).

Almost surely, 2^5209920 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 5209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430512).

5209920 is an abundant number, since it is smaller than the sum of its proper divisors (13651104).

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

5209920 is an equidigital number, since it uses as much as digits as its factorization.

5209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5209920 is about 2282.5249177172. The cubic root of 5209920 is about 173.3579189321.

It can be divided in two parts, 520 and 9920, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 5209920 in words is "five million, two hundred nine thousand, nine hundred twenty".