2853664 has 48 divisors (see below), whose sum is σ = 6271776. Its totient is φ = 1277760.

The previous prime is 2853661. The next prime is 2853673. The reversal of 2853664 is 4663582.

It is a happy number.

It is a d-powerful number, because it can be written as 2¹⁷ + 8⁷ + 5 + 3³ + 6⁷ + 6⁷ + 4⁸ .

Its product of digits (34560) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2853661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42559 + ... + 42625.

It is an arithmetic number, because the mean of its divisors is an integer number (130662).

2^2853664 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 2853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135888).

2853664 is an abundant number, since it is smaller than the sum of its proper divisors (3418112).

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

2853664 is an equidigital number, since it uses as much as digits as its factorization.

2853664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 2853664 is about 1689.2791361998. The cubic root of 2853664 is about 141.8407259999.

The spelling of 2853664 in words is "two million, eight hundred fifty-three thousand, six hundred sixty-four".