1800120 has 64 divisors (see below), whose sum is σ = 6174720. Its totient is φ = 411264.

The previous prime is 1800119. The next prime is 1800121. The reversal of 1800120 is 210081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1800119) and next prime (1800121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1800096 and 1800105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1800121) 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, 232 + ... + 1911.

It is an arithmetic number, because the mean of its divisors is an integer number (96480).

2^1800120 is an apocalyptic number.

1800120 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 1800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087360).

1800120 is an abundant number, since it is smaller than the sum of its proper divisors (4374600).

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

1800120 is a wasteful number, since it uses less digits than its factorization.

1800120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1800120 is about 1341.6855071141. The cubic root of 1800120 is about 121.6467430523.

It can be divided in two parts, 1800 and 120, that multiplied together give a cube (216000 = 60³).

The spelling of 1800120 in words is "one million, eight hundred thousand, one hundred twenty".