8201648 has 80 divisors (see below), whose sum is σ = 20165376. Its totient is φ = 3144960.

The previous prime is 8201647. The next prime is 8201663. The reversal of 8201648 is 8461028.

It is a self number, because there is not a number n which added to its sum of digits gives 8201648.

It is not an unprimeable number, because it can be changed into a prime (8201647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62543 + ... + 62673.

Almost surely, 2^8201648 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 8201648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10082688).

8201648 is an abundant number, since it is smaller than the sum of its proper divisors (11963728).

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

8201648 is a wasteful number, since it uses less digits than its factorization.

8201648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 8201648 is about 2863.8519514807. The cubic root of 8201648 is about 201.6664757263. Note that the first 3 decimals are identical.

The spelling of 8201648 in words is "eight million, two hundred one thousand, six hundred forty-eight".