5055120 has 240 divisors, whose sum is σ = 20891520. Its totient is φ = 1069056.

The previous prime is 5055109. The next prime is 5055133. The reversal of 5055120 is 215505.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5055093 and 5055102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85651 + ... + 85709.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 2^5055120 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 5055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760).

5055120 is an abundant number, since it is smaller than the sum of its proper divisors (15836400).

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

5055120 is a wasteful number, since it uses less digits than its factorization.

5055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 5055120 is about 2248.3594018751. The cubic root of 5055120 is about 171.6236588567.

It can be divided in two parts, 505 and 5120, that added together give a square (5625 = 75²).

The spelling of 5055120 in words is "five million, fifty-five thousand, one hundred twenty".