1842912 has 84 divisors (see below), whose sum is σ = 5508720. Its totient is φ = 606528.

The previous prime is 1842901. The next prime is 1842913. The reversal of 1842912 is 2192481.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1842913) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23289 + ... + 23367.

It is an arithmetic number, because the mean of its divisors is an integer number (65580).

2^1842912 is an apocalyptic number.

1842912 is a gapful number since it is divisible by the number (12) 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 1842912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754360).

1842912 is an abundant number, since it is smaller than the sum of its proper divisors (3665808).

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

1842912 is an frugal number, since it uses more digits than its factorization.

1842912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1842912 is about 1357.5389497175. The cubic root of 1842912 is about 122.6031229384.

The spelling of 1842912 in words is "one million, eight hundred forty-two thousand, nine hundred twelve".