5258880 has 192 divisors, whose sum is σ = 20049120. Its totient is φ = 1259520.

The previous prime is 5258873. The next prime is 5258917. The reversal of 5258880 is 888525.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63319 + ... + 63401.

Almost surely, 2^5258880 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 5258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

5258880 is an abundant number, since it is smaller than the sum of its proper divisors (14790240).

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

5258880 is a wasteful number, since it uses less digits than its factorization.

5258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5258880 is about 2293.2248036335. The cubic root of 5258880 is about 173.8992678944.

The spelling of 5258880 in words is "five million, two hundred fifty-eight thousand, eight hundred eighty".