5210880 has 144 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 1306624.

The previous prime is 5210867. The next prime is 5210911. The reversal of 5210880 is 880125.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5210880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88291 + ... + 88349.

It is an arithmetic number, because the mean of its divisors is an integer number (122640).

Almost surely, 2^5210880 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 5210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

5210880 is an abundant number, since it is smaller than the sum of its proper divisors (12449280).

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

5210880 is a wasteful number, since it uses less digits than its factorization.

5210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 5210880 is about 2282.7352014634. The cubic root of 5210880 is about 173.3685661449.

The spelling of 5210880 in words is "five million, two hundred ten thousand, eight hundred eighty".