2736864 has 144 divisors (see below), whose sum is σ = 9081072. Its totient is φ = 774144.

The previous prime is 2736863. The next prime is 2736869. The reversal of 2736864 is 4686372.

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 2¹¹ + 7² + 3⁸ + 6 + 8 + 6⁸ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2736863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63627 + ... + 63669.

It is an arithmetic number, because the mean of its divisors is an integer number (63063).

2^2736864 is an apocalyptic number.

2736864 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 2736864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540536).

2736864 is an abundant number, since it is smaller than the sum of its proper divisors (6344208).

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

2736864 is a wasteful number, since it uses less digits than its factorization.

2736864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

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

The square root of 2736864 is about 1654.3470010853. The cubic root of 2736864 is about 139.8785341008.

It can be divided in two parts, 2736 and 864, that added together give a square (3600 = 60²).

The spelling of 2736864 in words is "two million, seven hundred thirty-six thousand, eight hundred sixty-four".