2887968 has 48 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 946176.

The previous prime is 2887939. The next prime is 2887979. The reversal of 2887968 is 8697882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6208 + ... + 6656.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

2^2887968 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 2887968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

2887968 is an abundant number, since it is smaller than the sum of its proper divisors (4823232).

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

2887968 is a wasteful number, since it uses less digits than its factorization.

2887968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 2887968 is about 1699.4022478507. The cubic root of 2887968 is about 142.4068212025.

It can be divided in two parts, 288 and 7968, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 2887968 in words is "two million, eight hundred eighty-seven thousand, nine hundred sixty-eight".