8964 has 24 divisors (see below), whose sum is σ = 23520. Its totient is φ = 2952.

The previous prime is 8963. The next prime is 8969. The reversal of 8964 is 4698.

It can be divided in two parts, 896 and 4, that added together give a square (900 = 30^{2}).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (1728) is a multiple of the sum of its prime factors (96).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (8963) 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, 67 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (980).

2^{8964} 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 8964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760).

8964 is an abundant number, since it is smaller than the sum of its proper divisors (14556).

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

8964 is a wasteful number, since it uses less digits than its factorization.

8964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 8964 is about 94.6784030284. The cubic root of 8964 is about 20.7730667179.

The spelling of 8964 in words is "eight thousand, nine hundred sixty-four".

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