5338880 has 72 divisors (see below), whose sum is σ = 13220592. Its totient is φ = 2064384.

The previous prime is 5338877. The next prime is 5338919. The reversal of 5338880 is 888335.

5338880 = 136² + 137² + ... + 264².

5338880 = 29³ + 30³ + ... + 68³.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5338880.

It is a congruent number.

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, 54992 + ... + 55088.

Almost surely, 2^5338880 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 5338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610296).

5338880 is an abundant number, since it is smaller than the sum of its proper divisors (7881712).

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

5338880 is an equidigital number, since it uses as much as digits as its factorization.

5338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 5338880 is about 2310.6016532496. The cubic root of 5338880 is about 174.7766402079.

The spelling of 5338880 in words is "five million, three hundred thirty-eight thousand, eight hundred eighty".