1820544 has 64 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 550400.

The previous prime is 1820527. The next prime is 1820549. The reversal of 1820544 is 4450281.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4009 + ... + 4439.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

2^1820544 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 1820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840).

1820544 is an abundant number, since it is smaller than the sum of its proper divisors (3467136).

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

1820544 is a wasteful number, since it uses less digits than its factorization.

1820544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1820544 is about 1349.2753610735. The cubic root of 1820544 is about 122.1050783317.

The spelling of 1820544 in words is "one million, eight hundred twenty thousand, five hundred forty-four".