5167680 has 112 divisors (see below), whose sum is σ = 18775680. Its totient is φ = 1179648.

The previous prime is 5167667. The next prime is 5167691. The reversal of 5167680 is 867615.

It is a tau number, because it is divible by the number of its divisors (112).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6336 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (167640).

Almost surely, 2^5167680 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 5167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387840).

5167680 is an abundant number, since it is smaller than the sum of its proper divisors (13608000).

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

5167680 is a wasteful number, since it uses less digits than its factorization.

5167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5167680 is about 2273.2531755174. The cubic root of 5167680 is about 172.8881409050. Note that the first 3 decimals are identical.

The spelling of 5167680 in words is "five million, one hundred sixty-seven thousand, six hundred eighty".