8629344 has 108 divisors (see below), whose sum is σ = 26211276. Its totient is φ = 2692224.

The previous prime is 8629343. The next prime is 8629349. The reversal of 8629344 is 4439268.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 8629299 and 8629308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8629343) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103927 + ... + 104009.

It is an arithmetic number, because the mean of its divisors is an integer number (242697).

Almost surely, 2^8629344 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 8629344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105638).

8629344 is an abundant number, since it is smaller than the sum of its proper divisors (17581932).

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

8629344 is a wasteful number, since it uses less digits than its factorization.

8629344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 8629344 is about 2937.5745096933. The cubic root of 8629344 is about 205.1127200832.

The spelling of 8629344 in words is "eight million, six hundred twenty-nine thousand, three hundred forty-four".