2887936 has 36 divisors (see below), whose sum is σ = 5978700. Its totient is φ = 1390592.

The previous prime is 2887933. The next prime is 2887939. The reversal of 2887936 is 6397882.

It is an interprime number because it is at equal distance from previous prime (2887933) and next prime (2887939).

It can be written as a sum of positive squares in 2 ways, for example, as 1081600 + 1806336 = 1040^2 + 1344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2887892 and 2887901.

It is not an unprimeable number, because it can be changed into a prime (2887933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7230 + ... + 7618.

It is an arithmetic number, because the mean of its divisors is an integer number (166075).

2^2887936 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 2887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989350).

2887936 is an abundant number, since it is smaller than the sum of its proper divisors (3090764).

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

2887936 is an equidigital number, since it uses as much as digits as its factorization.

2887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 2887936 is about 1699.3928327494. The cubic root of 2887936 is about 142.4062952231.

The spelling of 2887936 in words is "two million, eight hundred eighty-seven thousand, nine hundred thirty-six".