9967488 has 64 divisors (see below), whose sum is σ = 26842320. Its totient is φ = 3276800.

The previous prime is 9967483. The next prime is 9967499. The reversal of 9967488 is 8847699.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9967488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967481) 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, 38656 + ... + 38912.

Almost surely, 2^9967488 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 9967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421160).

9967488 is an abundant number, since it is smaller than the sum of its proper divisors (16874832).

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

9967488 is a wasteful number, since it uses less digits than its factorization.

9967488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 9967488 is about 3157.1328765195. The cubic root of 9967488 is about 215.2097322428.

The spelling of 9967488 in words is "nine million, nine hundred sixty-seven thousand, four hundred eighty-eight".