5210688 has 56 divisors (see below), whose sum is σ = 15760192. Its totient is φ = 1488384.

The previous prime is 5210677. The next prime is 5210729. The reversal of 5210688 is 8860125.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595 + ... + 3282.

It is an arithmetic number, because the mean of its divisors is an integer number (281432).

Almost surely, 2^5210688 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 5210688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880096).

5210688 is an abundant number, since it is smaller than the sum of its proper divisors (10549504).

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

5210688 is a wasteful number, since it uses less digits than its factorization.

5210688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5210688 is about 2282.6931462639. The cubic root of 5210688 is about 173.3664368070.

The spelling of 5210688 in words is "five million, two hundred ten thousand, six hundred eighty-eight".