2864736 has 144 divisors (see below), whose sum is σ = 9828000. Its totient is φ = 790272.

The previous prime is 2864723. The next prime is 2864737. The reversal of 2864736 is 6374682.

2864736 is a `hidden beast` number, since 2 + 8 + 647 + 3 + 6 = 666.

2864736 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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2864736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864737) 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, 98770 + ... + 98798.

It is an arithmetic number, because the mean of its divisors is an integer number (68250).

2^2864736 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 2864736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914000).

2864736 is an abundant number, since it is smaller than the sum of its proper divisors (6963264).

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

2864736 is a wasteful number, since it uses less digits than its factorization.

2864736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2864736 is about 1692.5531010872. The cubic root of 2864736 is about 142.0239330156.

It can be divided in two parts, 2864 and 736, that added together give a square (3600 = 60²).

The spelling of 2864736 in words is "two million, eight hundred sixty-four thousand, seven hundred thirty-six".