8229564 has 108 divisors (see below), whose sum is σ = 25478544. Its totient is φ = 2193408.

The previous prime is 8229553. The next prime is 8229569. The reversal of 8229564 is 4659228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8229569) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72772 + ... + 72884.

Almost surely, 2^8229564 is an apocalyptic number.

8229564 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 8229564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12739272).

8229564 is an abundant number, since it is smaller than the sum of its proper divisors (17248980).

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

8229564 is a wasteful number, since it uses less digits than its factorization.

8229564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 8229564 is about 2868.7216665267. The cubic root of 8229564 is about 201.8950210984.

It can be divided in two parts, 82 and 29564, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 8229564 in words is "eight million, two hundred twenty-nine thousand, five hundred sixty-four".