1800960 has 144 divisors (see below), whose sum is σ = 6671616. Its totient is φ = 405504.

The previous prime is 1800959. The next prime is 1800961. The reversal of 1800960 is 690081.

It is an interprime number because it is at equal distance from previous prime (1800959) and next prime (1800961).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1800960.

It is not an unprimeable number, because it can be changed into a prime (1800961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26847 + ... + 26913.

2^1800960 is an apocalyptic number.

1800960 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 1800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335808).

1800960 is an abundant number, since it is smaller than the sum of its proper divisors (4870656).

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

1800960 is an equidigital number, since it uses as much as digits as its factorization.

1800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1800960 is about 1341.9985096862. The cubic root of 1800960 is about 121.6656616751.

It can be divided in two parts, 1800 and 960, that multiplied together give a cube (1728000 = 120³).

The spelling of 1800960 in words is "one million, eight hundred thousand, nine hundred sixty".