5187760 has 40 divisors (see below), whose sum is σ = 12700080. Its totient is φ = 1965312.

The previous prime is 5187739. The next prime is 5187761. The reversal of 5187760 is 677815.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5187761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 3226.

It is an arithmetic number, because the mean of its divisors is an integer number (317502).

Almost surely, 2^5187760 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 5187760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350040).

5187760 is an abundant number, since it is smaller than the sum of its proper divisors (7512320).

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

5187760 is a wasteful number, since it uses less digits than its factorization.

5187760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 5187760 is about 2277.6654714861. The cubic root of 5187760 is about 173.1117813677. Note that the first 3 decimals are identical.

The spelling of 5187760 in words is "five million, one hundred eighty-seven thousand, seven hundred sixty".