5331120 has 80 divisors (see below), whose sum is σ = 16769760. Its totient is φ = 1400832.

The previous prime is 5331089. The next prime is 5331127. The reversal of 5331120 is 211335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5331120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5331127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23166 + ... + 23394.

It is an arithmetic number, because the mean of its divisors is an integer number (209622).

Almost surely, 2^5331120 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 5331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384880).

5331120 is an abundant number, since it is smaller than the sum of its proper divisors (11438640).

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

5331120 is a wasteful number, since it uses less digits than its factorization.

5331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5331120 is about 2308.9218263077. The cubic root of 5331120 is about 174.6919205436.

Adding to 5331120 its reverse (211335), we get a palindrome (5542455).

It can be divided in two parts, 533 and 1120, that added together give a triangular number (1653 = T₅₇).

The spelling of 5331120 in words is "five million, three hundred thirty-one thousand, one hundred twenty".