2853648 has 120 divisors (see below), whose sum is σ = 9672000. Its totient is φ = 767232.

The previous prime is 2853647. The next prime is 2853659. The reversal of 2853648 is 8463582.

2853648 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 648 = 666.

2853648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (2853647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19078 + ... + 19226.

It is an arithmetic number, because the mean of its divisors is an integer number (80600).

2^2853648 is an apocalyptic number.

2853648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2853648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836000).

2853648 is an abundant number, since it is smaller than the sum of its proper divisors (6818352).

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

2853648 is a wasteful number, since it uses less digits than its factorization.

2853648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

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

The square root of 2853648 is about 1689.2744004454. The cubic root of 2853648 is about 141.8404609072.

The spelling of 2853648 in words is "two million, eight hundred fifty-three thousand, six hundred forty-eight".