8205948 has 120 divisors (see below), whose sum is σ = 23851520. Its totient is φ = 2449440.

The previous prime is 8205941. The next prime is 8205949. The reversal of 8205948 is 8495028.

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 (8205941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190815 + ... + 190857.

Almost surely, 2^8205948 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 8205948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925760).

8205948 is an abundant number, since it is smaller than the sum of its proper divisors (15645572).

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

8205948 is a wasteful number, since it uses less digits than its factorization.

8205948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8205948 is about 2864.6025902383. The cubic root of 8205948 is about 201.7017131299.

The spelling of 8205948 in words is "eight million, two hundred five thousand, nine hundred forty-eight".