2887008 has 96 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 860160.

The previous prime is 2887007. The next prime is 2887009. The reversal of 2887008 is 8007882.

It is an interprime number because it is at equal distance from previous prime (2887007) and next prime (2887009).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2887008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2887007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47298 + ... + 47358.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

2^2887008 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 2887008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

2887008 is an abundant number, since it is smaller than the sum of its proper divisors (5549952).

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

2887008 is a wasteful number, since it uses less digits than its factorization.

2887008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 2887008 is about 1699.1197721173. The cubic root of 2887008 is about 142.3910401298.

The spelling of 2887008 in words is "two million, eight hundred eighty-seven thousand, eight".