5281920 has 192 divisors, whose sum is σ = 21003840. Its totient is φ = 1198080.

The previous prime is 5281919. The next prime is 5281921. The reversal of 5281920 is 291825.

It is an interprime number because it is at equal distance from previous prime (5281919) and next prime (5281921).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5281921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40255 + ... + 40385.

It is an arithmetic number, because the mean of its divisors is an integer number (109395).

Almost surely, 2^5281920 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 5281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501920).

5281920 is an abundant number, since it is smaller than the sum of its proper divisors (15721920).

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

5281920 is a wasteful number, since it uses less digits than its factorization.

5281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5281920 is about 2298.2428070158. The cubic root of 5281920 is about 174.1528581448.

The spelling of 5281920 in words is "five million, two hundred eighty-one thousand, nine hundred twenty".