8945664 has 128 divisors (see below), whose sum is σ = 29359680. Its totient is φ = 2359296.

The previous prime is 8945663. The next prime is 8945669. The reversal of 8945664 is 4665498.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8945663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688122 + ... + 688134.

Almost surely, 2^8945664 is an apocalyptic number.

8945664 is a gapful number since it is divisible by the number (84) 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 8945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14679840).

8945664 is an abundant number, since it is smaller than the sum of its proper divisors (20414016).

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

8945664 is an equidigital number, since it uses as much as digits as its factorization.

8945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 25 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 8945664 is about 2990.9302900603. The cubic root of 8945664 is about 207.5889317349.

It can be divided in two parts, 89 and 45664, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 8945664 in words is "eight million, nine hundred forty-five thousand, six hundred sixty-four".