5384120 has 96 divisors (see below), whose sum is σ = 14651280. Its totient is φ = 1774080.

The previous prime is 5384117. The next prime is 5384123. The reversal of 5384120 is 214835.

It is an interprime number because it is at equal distance from previous prime (5384117) and next prime (5384123).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5384123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80327 + ... + 80393.

Almost surely, 2^5384120 is an apocalyptic number.

5384120 is the 1340-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5384120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640).

5384120 is an abundant number, since it is smaller than the sum of its proper divisors (9267160).

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

5384120 is a wasteful number, since it uses less digits than its factorization.

5384120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5384120 is about 2320.3706600455. The cubic root of 5384120 is about 175.2689198765.

Adding to 5384120 its reverse (214835), we get a palindrome (5598955).

The spelling of 5384120 in words is "five million, three hundred eighty-four thousand, one hundred twenty".