5208120 has 192 divisors, whose sum is σ = 19206720. Its totient is φ = 1216512.

The previous prime is 5208079. The next prime is 5208131. The reversal of 5208120 is 218025.

5208120 = T₁₉ + T₂₀ + ... + T₃₁₄.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5208093 and 5208102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140742 + ... + 140778.

It is an arithmetic number, because the mean of its divisors is an integer number (100035).

Almost surely, 2^5208120 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 5208120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603360).

5208120 is an abundant number, since it is smaller than the sum of its proper divisors (13998600).

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

5208120 is a wasteful number, since it uses less digits than its factorization.

5208120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5208120 is about 2282.1305834680. The cubic root of 5208120 is about 173.3379518822.

The spelling of 5208120 in words is "five million, two hundred eight thousand, one hundred twenty".