5167080 has 96 divisors (see below), whose sum is σ = 17372160. Its totient is φ = 1330560.

The previous prime is 5167079. The next prime is 5167081. The reversal of 5167080 is 807615.

5167080 is a `hidden beast` number, since 516 + 70 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5167079) and next prime (5167081).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5167081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10929 + ... + 11391.

It is an arithmetic number, because the mean of its divisors is an integer number (180960).

Almost surely, 2^5167080 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 5167080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686080).

5167080 is an abundant number, since it is smaller than the sum of its proper divisors (12205080).

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

5167080 is a wasteful number, since it uses less digits than its factorization.

5167080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5167080 is about 2273.1212022239. The cubic root of 5167080 is about 172.8814495142.

The spelling of 5167080 in words is "five million, one hundred sixty-seven thousand, eighty".