9987456 has 64 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 3217920.

The previous prime is 9987443. The next prime is 9987457. The reversal of 9987456 is 6547899.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987457) 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, 11485 + ... + 12323.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 2^9987456 is an apocalyptic number.

9987456 is a gapful number since it is divisible by the number (96) 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 9987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

9987456 is an abundant number, since it is smaller than the sum of its proper divisors (17430144).

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

9987456 is a wasteful number, since it uses less digits than its factorization.

9987456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 9987456 is about 3160.2936572414. The cubic root of 9987456 is about 215.3533472139.

The spelling of 9987456 in words is "nine million, nine hundred eighty-seven thousand, four hundred fifty-six".