2817648 has 60 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 883200.

The previous prime is 2817629. The next prime is 2817649. The reversal of 2817648 is 8467182.

2817648 is a `hidden beast` number, since 2 + 8 + 1 + 7 + 648 = 666.

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 (2817649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1873 + ... + 3023.

2^2817648 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 2817648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178304).

2817648 is an abundant number, since it is smaller than the sum of its proper divisors (5538960).

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

2817648 is a wasteful number, since it uses less digits than its factorization.

2817648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1173 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2817648 is about 1678.5851184852. The cubic root of 2817648 is about 141.2414754560.

It can be divided in two parts, 28176 and 48, that added together give a square (28224 = 168²).

The spelling of 2817648 in words is "two million, eight hundred seventeen thousand, six hundred forty-eight".