5355120 has 80 divisors (see below), whose sum is σ = 16954272. Its totient is φ = 1397760.

The previous prime is 5355107. The next prime is 5355139. The reversal of 5355120 is 215535.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12510 + ... + 12930.

Almost surely, 2^5355120 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 5355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477136).

5355120 is an abundant number, since it is smaller than the sum of its proper divisors (11599152).

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

5355120 is a wasteful number, since it uses less digits than its factorization.

5355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 5355120 is about 2314.1132210849. The cubic root of 5355120 is about 174.9536748129.

The spelling of 5355120 in words is "five million, three hundred fifty-five thousand, one hundred twenty".