5210208 has 72 divisors (see below), whose sum is σ = 15069600. Its totient is φ = 1707264.

The previous prime is 5210207. The next prime is 5210209. The reversal of 5210208 is 8020125.

It is an interprime number because it is at equal distance from previous prime (5210207) and next prime (5210209).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22638 + ... + 22866.

It is an arithmetic number, because the mean of its divisors is an integer number (209300).

Almost surely, 2^5210208 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 5210208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534800).

5210208 is an abundant number, since it is smaller than the sum of its proper divisors (9859392).

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

5210208 is a wasteful number, since it uses less digits than its factorization.

5210208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

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

The square root of 5210208 is about 2282.5880048752. The cubic root of 5210208 is about 173.3611132332.

The spelling of 5210208 in words is "five million, two hundred ten thousand, two hundred eight".