1845792 has 144 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 516096.

The previous prime is 1845791. The next prime is 1845827. The reversal of 1845792 is 2975481.

1845792 is a `hidden beast` number, since 1 + 84 + 579 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 318096 = 1236^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (20160) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1845791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63634 + ... + 63662.

2^1845792 is an apocalyptic number.

1845792 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 1845792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).

1845792 is an abundant number, since it is smaller than the sum of its proper divisors (4345848).

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

1845792 is a wasteful number, since it uses less digits than its factorization.

1845792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1845792 is about 1358.5992786690. The cubic root of 1845792 is about 122.6669554709. Note that the first 3 decimals are identical.

The spelling of 1845792 in words is "one million, eight hundred forty-five thousand, seven hundred ninety-two".