2868960 has 96 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 741888.

The previous prime is 2868959. The next prime is 2868961. The reversal of 2868960 is 698682.

2868960 is digitally balanced in base 2, 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 (2868959) and next prime (2868961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20571 + ... + 20709.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

2^2868960 is an apocalyptic number.

2868960 is a gapful number since it is divisible by the number (20) 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 2868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

2868960 is an abundant number, since it is smaller than the sum of its proper divisors (6444960).

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

2868960 is a wasteful number, since it uses less digits than its factorization.

2868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2868960 is about 1693.8004605029. The cubic root of 2868960 is about 142.0937026189.

It can be divided in two parts, 2868 and 960, that added together give a triangular number (3828 = T₈₇).

The spelling of 2868960 in words is "two million, eight hundred sixty-eight thousand, nine hundred sixty".