5218880 has 56 divisors (see below), whose sum is σ = 12728448. Its totient is φ = 2037248.

The previous prime is 5218879. The next prime is 5218883. The reversal of 5218880 is 888125.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5218883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14867 + ... + 15213.

Almost surely, 2^5218880 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 5218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364224).

5218880 is an abundant number, since it is smaller than the sum of its proper divisors (7509568).

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

5218880 is a wasteful number, since it uses less digits than its factorization.

5218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 5218880 is about 2284.4868132690. The cubic root of 5218880 is about 173.4572421052.

The spelling of 5218880 in words is "five million, two hundred eighteen thousand, eight hundred eighty".