5807520 has 144 divisors (see below), whose sum is σ = 20540520. Its totient is φ = 1492992.

The previous prime is 5807513. The next prime is 5807533. The reversal of 5807520 is 257085.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 104976 = 2388^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 53226 + ... + 53334.

Almost surely, 2^5807520 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 5807520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270260).

5807520 is an abundant number, since it is smaller than the sum of its proper divisors (14733000).

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

5807520 is a wasteful number, since it uses less digits than its factorization.

5807520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5807520 is about 2409.8796650455. The cubic root of 5807520 is about 179.7477949388.

It can be divided in two parts, 580 and 7520, that added together give a square (8100 = 90²).

The spelling of 5807520 in words is "five million, eight hundred seven thousand, five hundred twenty".