2856960 has 144 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 737280.

The previous prime is 2856923. The next prime is 2856961. The reversal of 2856960 is 696582.

It is a tau number, because it is divible by the number of its divisors (144).

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 (2856961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92145 + ... + 92175.

It is an arithmetic number, because the mean of its divisors is an integer number (70980).

2^2856960 is an apocalyptic number.

2856960 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 2856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

2856960 is an abundant number, since it is smaller than the sum of its proper divisors (7364160).

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

2856960 is a wasteful number, since it uses less digits than its factorization.

2856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2856960 is about 1690.2544187193. The cubic root of 2856960 is about 141.8953139678.

The spelling of 2856960 in words is "two million, eight hundred fifty-six thousand, nine hundred sixty".