1836864 has 56 divisors (see below), whose sum is σ = 5405120. Its totient is φ = 611712.

The previous prime is 1836853. The next prime is 1836911. The reversal of 1836864 is 4686381.

It is a happy number.

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 an Ulam number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (96520).

2^1836864 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 1836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702560).

1836864 is an abundant number, since it is smaller than the sum of its proper divisors (3568256).

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

1836864 is a wasteful number, since it uses less digits than its factorization.

1836864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1068 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1836864 is about 1355.3095587356. The cubic root of 1836864 is about 122.4688578340.

The spelling of 1836864 in words is "one million, eight hundred thirty-six thousand, eight hundred sixty-four".