5006880 has 192 divisors, whose sum is σ = 18748800. Its totient is φ = 1244160.

The previous prime is 5006867. The next prime is 5006909. The reversal of 5006880 is 886005.

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 a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82050 + ... + 82110.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

Almost surely, 2^5006880 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 5006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5006880 is an abundant number, since it is smaller than the sum of its proper divisors (13741920).

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

5006880 is a wasteful number, since it uses less digits than its factorization.

5006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5006880 is about 2237.6058634174. The cubic root of 5006880 is about 171.0759896183.

It can be divided in two parts, 5006 and 880, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5006880 in words is "five million, six thousand, eight hundred eighty".