1801360 has 80 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 619520.

The previous prime is 1801357. The next prime is 1801361. The reversal of 1801360 is 631081.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1801361) 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 15 ways as a sum of consecutive naturals, for example, 20196 + ... + 20284.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

2^1801360 is an apocalyptic number.

1801360 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 1801360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

1801360 is an abundant number, since it is smaller than the sum of its proper divisors (3019760).

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

1801360 is a wasteful number, since it uses less digits than its factorization.

1801360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1801360 is about 1342.1475328741. The cubic root of 1801360 is about 121.6746684756.

It can be divided in two parts, 180 and 1360, that added together give a triangular number (1540 = T₅₅).

The spelling of 1801360 in words is "one million, eight hundred one thousand, three hundred sixty".