5009760 has 216 divisors, whose sum is σ = 20167056. Its totient is φ = 1128960.

The previous prime is 5009737. The next prime is 5009761. The reversal of 5009760 is 679005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70525 + ... + 70595.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 2^5009760 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 5009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083528).

5009760 is an abundant number, since it is smaller than the sum of its proper divisors (15157296).

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

5009760 is a wasteful number, since it uses less digits than its factorization.

5009760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5009760 is about 2238.2493158717. The cubic root of 5009760 is about 171.1087847862.

The spelling of 5009760 in words is "five million, nine thousand, seven hundred sixty".