2727864 has 64 divisors (see below), whose sum is σ = 7725600. Its totient is φ = 891648.

The previous prime is 2727847. The next prime is 2727913. The reversal of 2727864 is 4687272.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15682 + ... + 15854.

2^2727864 is an apocalyptic number.

2727864 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 2727864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862800).

2727864 is an abundant number, since it is smaller than the sum of its proper divisors (4997736).

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

2727864 is a wasteful number, since it uses less digits than its factorization.

2727864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2727864 is about 1651.6246546961. The cubic root of 2727864 is about 139.7250385577.

The spelling of 2727864 in words is "two million, seven hundred twenty-seven thousand, eight hundred sixty-four".