8667648 has 200 divisors, whose sum is σ = 29707920. Its totient is φ = 2488320.

The previous prime is 8667641. The next prime is 8667653. The reversal of 8667648 is 8467668.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8667641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 456183 + ... + 456201.

Almost surely, 2^8667648 is an apocalyptic number.

8667648 is a gapful number since it is divisible by the number (88) 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 8667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853960).

8667648 is an abundant number, since it is smaller than the sum of its proper divisors (21040272).

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

8667648 is a wasteful number, since it uses less digits than its factorization.

8667648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8667648 is about 2944.0869552376. The cubic root of 8667648 is about 205.4157574678.

The spelling of 8667648 in words is "eight million, six hundred sixty-seven thousand, six hundred forty-eight".