5215120 has 80 divisors (see below), whose sum is σ = 13213440. Its totient is φ = 1907712.

The previous prime is 5215097. The next prime is 5215121. The reversal of 5215120 is 215125.

5215120 = T₂₈₅ + T₂₈₆ + ... + T₃₇₈.

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

It is a super-2 number, since 2×5215120² = 54394953228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 5215094 and 5215103.

It is not an unprimeable number, because it can be changed into a prime (5215121) 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 15 ways as a sum of consecutive naturals, for example, 71404 + ... + 71476.

It is an arithmetic number, because the mean of its divisors is an integer number (165168).

Almost surely, 2^5215120 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 5215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606720).

5215120 is an abundant number, since it is smaller than the sum of its proper divisors (7998320).

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

5215120 is a wasteful number, since it uses less digits than its factorization.

5215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 5215120 is about 2283.6637230556. The cubic root of 5215120 is about 173.4155756990.

It can be divided in two parts, 5215 and 120, that added together give a palindrome (5335).

The spelling of 5215120 in words is "five million, two hundred fifteen thousand, one hundred twenty".