8967648 has 48 divisors (see below), whose sum is σ = 23783760. Its totient is φ = 2958336.

The previous prime is 8967611. The next prime is 8967659. The reversal of 8967648 is 8467698.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 8967597 and 8967606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10036 + ... + 10892.

It is an arithmetic number, because the mean of its divisors is an integer number (495495).

Almost surely, 2^8967648 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 8967648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891880).

8967648 is an abundant number, since it is smaller than the sum of its proper divisors (14816112).

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

8967648 is a wasteful number, since it uses less digits than its factorization.

8967648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 971 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 8967648 is about 2994.6031456605. The cubic root of 8967648 is about 207.7588427960.

The spelling of 8967648 in words is "eight million, nine hundred sixty-seven thousand, six hundred forty-eight".