1801600 has 48 divisors (see below), whose sum is σ = 4458420. Its totient is φ = 719360.

The previous prime is 1801589. The next prime is 1801601. The reversal of 1801600 is 61081.

1801600 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2919 + ... + 3481.

2^1801600 is an apocalyptic number.

1801600 is a gapful number since it is divisible by the number (10) 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 1801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229210).

1801600 is an abundant number, since it is smaller than the sum of its proper divisors (2656820).

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

1801600 is an equidigital number, since it uses as much as digits as its factorization.

1801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1801600 is about 1342.2369388450. The cubic root of 1801600 is about 121.6800719159.

Adding to 1801600 its reverse (61081), we get a palindrome (1862681).

It can be divided in two parts, 1801 and 600, that added together give a 4-th power (2401 = 7⁴).

The spelling of 1801600 in words is "one million, eight hundred one thousand, six hundred".