1842120 has 192 divisors, whose sum is σ = 7413120. Its totient is φ = 387072.

The previous prime is 1842101. The next prime is 1842131. The reversal of 1842120 is 212481.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1842093 and 1842102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42819 + ... + 42861.

It is an arithmetic number, because the mean of its divisors is an integer number (38610).

2^1842120 is an apocalyptic number.

1842120 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 1842120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706560).

1842120 is an abundant number, since it is smaller than the sum of its proper divisors (5571000).

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

1842120 is a wasteful number, since it uses less digits than its factorization.

1842120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1842120 is about 1357.2472140329. The cubic root of 1842120 is about 122.5855573345.

It can be divided in two parts, 184 and 2120, that added together give a square (2304 = 48²).

The spelling of 1842120 in words is "one million, eight hundred forty-two thousand, one hundred twenty".