5005680 has 40 divisors (see below), whose sum is σ = 15518352. Its totient is φ = 1334784.

The previous prime is 5005669. The next prime is 5005687. The reversal of 5005680 is 865005.

5005680 = T₃₁₃ + T₃₁₄ + ... + T₃₉₂.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5005680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10189 + ... + 10668.

Almost surely, 2^5005680 is an apocalyptic number.

It is an amenable number.

5005680 is an abundant number, since it is smaller than the sum of its proper divisors (10512672).

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

5005680 is a wasteful number, since it uses less digits than its factorization.

5005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20873 (or 20867 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5005680 is about 2237.3377036111. The cubic root of 5005680 is about 171.0623212532.

The spelling of 5005680 in words is "five million, five thousand, six hundred eighty".