5349120 has 144 divisors (see below), whose sum is σ = 19622400. Its totient is φ = 1216512.

The previous prime is 5349109. The next prime is 5349121. The reversal of 5349120 is 219435.

It is a super-2 number, since 2×5349120² = 57226169548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26781 + ... + 26979.

Almost surely, 2^5349120 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 5349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811200).

5349120 is an abundant number, since it is smaller than the sum of its proper divisors (14273280).

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

5349120 is a wasteful number, since it uses less digits than its factorization.

5349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5349120 is about 2312.8164648324. The cubic root of 5349120 is about 174.8883096834. Note that the first 3 decimals are identical.

The spelling of 5349120 in words is "five million, three hundred forty-nine thousand, one hundred twenty".