2187936 has 72 divisors (see below), whose sum is σ = 6368544. Its totient is φ = 712320.

The previous prime is 2187929. The next prime is 2187943. The reversal of 2187936 is 6397812.

It is an interprime number because it is at equal distance from previous prime (2187929) and next prime (2187943).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2187936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20395 + ... + 20501.

It is an arithmetic number, because the mean of its divisors is an integer number (88452).

2^2187936 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 2187936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184272).

2187936 is an abundant number, since it is smaller than the sum of its proper divisors (4180608).

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

2187936 is a wasteful number, since it uses less digits than its factorization.

2187936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2187936 is about 1479.1673333332. The cubic root of 2187936 is about 129.8209764588.

The spelling of 2187936 in words is "two million, one hundred eighty-seven thousand, nine hundred thirty-six".