8643264 has 112 divisors (see below), whose sum is σ = 26822400. Its totient is φ = 2405376.

The previous prime is 8643223. The next prime is 8643281. The reversal of 8643264 is 4623468.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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, 79242 + ... + 79350.

Almost surely, 2^8643264 is an apocalyptic number.

8643264 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 8643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411200).

8643264 is an abundant number, since it is smaller than the sum of its proper divisors (18179136).

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

8643264 is a wasteful number, since it uses less digits than its factorization.

8643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 8643264 is about 2939.9428565875. The cubic root of 8643264 is about 205.2229499845. Note that the first 3 decimals are identical.

The spelling of 8643264 in words is "eight million, six hundred forty-three thousand, two hundred sixty-four".