1827936 has 72 divisors (see below), whose sum is σ = 5680584. Its totient is φ = 552960.

The previous prime is 1827929. The next prime is 1827937. The reversal of 1827936 is 6397281.

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 1827936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1827937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2880 + ... + 3456.

It is an arithmetic number, because the mean of its divisors is an integer number (78897).

2^1827936 is an apocalyptic number.

1827936 is a gapful number since it is divisible by the number (16) 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 1827936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840292).

1827936 is an abundant number, since it is smaller than the sum of its proper divisors (3852648).

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

1827936 is a wasteful number, since it uses less digits than its factorization.

1827936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 593 counting only the distinct ones).

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

The square root of 1827936 is about 1352.0118342677. The cubic root of 1827936 is about 122.2701172559.

It can be divided in two parts, 182 and 7936, that added together give a palindrome (8118).

The spelling of 1827936 in words is "one million, eight hundred twenty-seven thousand, nine hundred thirty-six".