2868864 has 64 divisors (see below), whose sum is σ = 7898880. Its totient is φ = 921600.

The previous prime is 2868857. The next prime is 2868871. The reversal of 2868864 is 4688682.

2868864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2868857) and next prime (2868871).

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

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, 11784 + ... + 12024.

It is an arithmetic number, because the mean of its divisors is an integer number (123420).

2^2868864 is an apocalyptic number.

2868864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949440).

2868864 is an abundant number, since it is smaller than the sum of its proper divisors (5030016).

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

2868864 is a wasteful number, since it uses less digits than its factorization.

2868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 2868864 is about 1693.7721216268. The cubic root of 2868864 is about 142.0921177068.

The spelling of 2868864 in words is "two million, eight hundred sixty-eight thousand, eight hundred sixty-four".