2871648 has 108 divisors (see below), whose sum is σ = 8992620. Its totient is φ = 868608.

The previous prime is 2871643. The next prime is 2871689. The reversal of 2871648 is 8461782.

2871648 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 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 (2871643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48643 + ... + 48701.

It is an arithmetic number, because the mean of its divisors is an integer number (83265).

2^2871648 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 2871648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496310).

2871648 is an abundant number, since it is smaller than the sum of its proper divisors (6120972).

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

2871648 is a wasteful number, since it uses less digits than its factorization.

2871648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

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

The square root of 2871648 is about 1694.5937566272. The cubic root of 2871648 is about 142.1380658085.

The spelling of 2871648 in words is "two million, eight hundred seventy-one thousand, six hundred forty-eight".