2856672 has 144 divisors (see below), whose sum is σ = 10090080. Its totient is φ = 746496.

The previous prime is 2856653. The next prime is 2856673. The reversal of 2856672 is 2766582.

2856672 is a `hidden beast` number, since 28 + 566 + 72 = 666.

2856672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 d-powerful number, because it can be written as 2⁵ + 8³ + 5⁹ + 6² + 6⁶ + 7⁷ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2856673) 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 23 ways as a sum of consecutive naturals, for example, 26154 + ... + 26262.

It is an arithmetic number, because the mean of its divisors is an integer number (70070).

2^2856672 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 2856672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045040).

2856672 is an abundant number, since it is smaller than the sum of its proper divisors (7233408).

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

2856672 is a wasteful number, since it uses less digits than its factorization.

2856672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2856672 is about 1690.1692222970. The cubic root of 2856672 is about 141.8905458199.

The spelling of 2856672 in words is "two million, eight hundred fifty-six thousand, six hundred seventy-two".