5167760 has 40 divisors (see below), whose sum is σ = 12941880. Its totient is φ = 1907712.

The previous prime is 5167741. The next prime is 5167769. The reversal of 5167760 is 677615.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 5161984 = 76^2 + 2272^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5167769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1445 + ... + 3524.

It is an arithmetic number, because the mean of its divisors is an integer number (323547).

Almost surely, 2^5167760 is an apocalyptic number.

It is an amenable number.

5167760 is an abundant number, since it is smaller than the sum of its proper divisors (7774120).

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

5167760 is a wasteful number, since it uses less digits than its factorization.

5167760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4995 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 5167760 is about 2273.2707713777. The cubic root of 5167760 is about 172.8890330513.

The spelling of 5167760 in words is "five million, one hundred sixty-seven thousand, seven hundred sixty".