8210944 has 80 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 3354624.

The previous prime is 8210933. The next prime is 8210987. The reversal of 8210944 is 4490128.

It is a super-2 number, since 2×8210944² = 134839202742272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103897 + ... + 103975.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 2^8210944 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 8210944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

8210944 is an abundant number, since it is smaller than the sum of its proper divisors (11430656).

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

8210944 is an equidigital number, since it uses as much as digits as its factorization.

8210944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 8210944 is about 2865.4744807798. The cubic root of 8210944 is about 201.7426386197.

It can be divided in two parts, 82 and 10944, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 8210944 in words is "eight million, two hundred ten thousand, nine hundred forty-four".