8648964 has 48 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 2826720.

The previous prime is 8648953. The next prime is 8649001. The reversal of 8648964 is 4698468.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4969 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^8648964 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 8648964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

8648964 is an abundant number, since it is smaller than the sum of its proper divisors (14212476).

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

8648964 is a wasteful number, since it uses less digits than its factorization.

8648964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1569 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 8648964 is about 2940.9121034128. The cubic root of 8648964 is about 205.2680530754.

It can be divided in two parts, 864896 and 4, that added together give a square (864900 = 930²).

The spelling of 8648964 in words is "eight million, six hundred forty-eight thousand, nine hundred sixty-four".