9887760 has 120 divisors (see below), whose sum is σ = 34354944. Its totient is φ = 2545920.

The previous prime is 9887747. The next prime is 9887767. The reversal of 9887760 is 677889.

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 (45).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9887767) 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, 22099 + ... + 22541.

Almost surely, 2^9887760 is an apocalyptic number.

9887760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17177472).

9887760 is an abundant number, since it is smaller than the sum of its proper divisors (24467184).

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

9887760 is a wasteful number, since it uses less digits than its factorization.

9887760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 9887760 is about 3144.4808792550. The cubic root of 9887760 is about 214.6343885387.

The spelling of 9887760 in words is "nine million, eight hundred eighty-seven thousand, seven hundred sixty".