5517120 has 112 divisors (see below), whose sum is σ = 20043648. Its totient is φ = 1259520.

The previous prime is 5517091. The next prime is 5517131. The reversal of 5517120 is 217155.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×5517120² = 60877226188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6310 + ... + 7130.

Almost surely, 2^5517120 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 5517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021824).

5517120 is an abundant number, since it is smaller than the sum of its proper divisors (14526528).

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

5517120 is a wasteful number, since it uses less digits than its factorization.

5517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 5517120 is about 2348.8550402270. The cubic root of 5517120 is about 176.7003772545.

The spelling of 5517120 in words is "five million, five hundred seventeen thousand, one hundred twenty".