1812960 has 72 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 483072.

The previous prime is 1812959. The next prime is 1812983. The reversal of 1812960 is 692181.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 811 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

2^1812960 is an apocalyptic number.

1812960 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 1812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).

1812960 is an abundant number, since it is smaller than the sum of its proper divisors (4378680).

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

1812960 is a wasteful number, since it uses less digits than its factorization.

1812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1812960 is about 1346.4620306566. The cubic root of 1812960 is about 121.9352877269.

It can be divided in two parts, 1812 and 960, that added together give a palindrome (2772).

The spelling of 1812960 in words is "one million, eight hundred twelve thousand, nine hundred sixty".