2727936 has 84 divisors (see below), whose sum is σ = 8093202. Its totient is φ = 884736.

The previous prime is 2727919. The next prime is 2727941. The reversal of 2727936 is 6397272.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 921600 = 1344^2 + 960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (31752) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2727936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73710 + ... + 73746.

2^2727936 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 2727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046601).

2727936 is an abundant number, since it is smaller than the sum of its proper divisors (5365266).

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

2727936 is an equidigital number, since it uses as much as digits as its factorization.

2727936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 2727936 is about 1651.6464512722. The cubic root of 2727936 is about 139.7262678607.

It can be divided in two parts, 2727 and 936, that added together give a palindrome (3663).

The spelling of 2727936 in words is "two million, seven hundred twenty-seven thousand, nine hundred thirty-six".