5006160 has 120 divisors (see below), whose sum is σ = 17844840. Its totient is φ = 1253376.

The previous prime is 5006153. The next prime is 5006171. The reversal of 5006160 is 616005.

5006160 is a `hidden beast` number, since 50 + 0 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 2862864 = 1464^2 + 1692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 12036 + ... + 12444.

It is an arithmetic number, because the mean of its divisors is an integer number (148707).

Almost surely, 2^5006160 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 5006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922420).

5006160 is an abundant number, since it is smaller than the sum of its proper divisors (12838680).

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

5006160 is a wasteful number, since it uses less digits than its factorization.

5006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5006160 is about 2237.4449713904. Note that the first 3 decimals coincide. The cubic root of 5006160 is about 171.0677888614.

The spelling of 5006160 in words is "five million, six thousand, one hundred sixty".