9987264 has 84 divisors (see below), whose sum is σ = 32729424. Its totient is φ = 2852352.

The previous prime is 9987253. The next prime is 9987283. The reversal of 9987264 is 4627899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2794 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (389636).

Almost surely, 2^9987264 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 9987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364712).

9987264 is an abundant number, since it is smaller than the sum of its proper divisors (22742160).

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

9987264 is a wasteful number, since it uses less digits than its factorization.

9987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2489 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9987264 is about 3160.2632801714. The cubic root of 9987264 is about 215.3519672126.

The spelling of 9987264 in words is "nine million, nine hundred eighty-seven thousand, two hundred sixty-four".