2871936 has 80 divisors (see below), whose sum is σ = 8577690. Its totient is φ = 953856.

The previous prime is 2871919. The next prime is 2871937. The reversal of 2871936 is 6391782.

It can be written as a sum of positive squares in only one way, i.e., 2742336 + 129600 = 1656^2 + 360^2 .

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2871936.

It is not an unprimeable number, because it can be changed into a prime (2871937) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10230 + ... + 10506.

2^2871936 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 2871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288845).

2871936 is an abundant number, since it is smaller than the sum of its proper divisors (5705754).

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

2871936 is an equidigital number, since it uses as much as digits as its factorization.

2871936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2871936 is about 1694.6787306153. The cubic root of 2871936 is about 142.1428173651.

The spelling of 2871936 in words is "two million, eight hundred seventy-one thousand, nine hundred thirty-six".