5384880 has 120 divisors (see below), whose sum is σ = 18821712. Its totient is φ = 1430784.

The previous prime is 5384867. The next prime is 5384881. The reversal of 5384880 is 884835.

5384880 is a `hidden beast` number, since 538 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5384880² = 57993865228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5384881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19302 + ... + 19578.

Almost surely, 2^5384880 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 5384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9410856).

5384880 is an abundant number, since it is smaller than the sum of its proper divisors (13436832).

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

5384880 is a wasteful number, since it uses less digits than its factorization.

5384880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5384880 is about 2320.5344212056. The cubic root of 5384880 is about 175.2771662326.

The spelling of 5384880 in words is "five million, three hundred eighty-four thousand, eight hundred eighty".