5182880 has 48 divisors (see below), whose sum is σ = 12678120. Its totient is φ = 1999872.

The previous prime is 5182871. The next prime is 5182897. The reversal of 5182880 is 882815.

It can be written as a sum of positive squares in 4 ways, for example, as 2835856 + 2347024 = 1684^2 + 1532^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4082 + ... + 5198.

Almost surely, 2^5182880 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 5182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339060).

5182880 is an abundant number, since it is smaller than the sum of its proper divisors (7495240).

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

5182880 is a wasteful number, since it uses less digits than its factorization.

5182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 5182880 is about 2276.5939471061. The cubic root of 5182880 is about 173.0574836540.

The spelling of 5182880 in words is "five million, one hundred eighty-two thousand, eight hundred eighty".