8235648 has 64 divisors (see below), whose sum is σ = 24316800. Its totient is φ = 2744064.

The previous prime is 8235637. The next prime is 8235653. The reversal of 8235648 is 8465328.

8235648 is a `hidden beast` number, since 8 + 2 + 3 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265 + ... + 4647.

It is an arithmetic number, because the mean of its divisors is an integer number (379950).

Almost surely, 2^8235648 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 8235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158400).

8235648 is an abundant number, since it is smaller than the sum of its proper divisors (16081152).

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

8235648 is a wasteful number, since it uses less digits than its factorization.

8235648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2388 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 8235648 is about 2869.7818732440. The cubic root of 8235648 is about 201.9447615519.

The spelling of 8235648 in words is "eight million, two hundred thirty-five thousand, six hundred forty-eight".