1842575436 has 144 divisors (see below), whose sum is σ = 5234611200. Its totient is φ = 542578176.

The previous prime is 1842575411. The next prime is 1842575437. The reversal of 1842575436 is 6345752481.

1842575436 is a `hidden beast` number, since 1 + 8 + 42 + 575 + 4 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1842575391 and 1842575400.

It is not an unprimeable number, because it can be changed into a prime (1842575437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1723110 + ... + 1724178.

Almost surely, 2^1842575436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1842575436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617305600).

1842575436 is an abundant number, since it is smaller than the sum of its proper divisors (3392035764).

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

1842575436 is a wasteful number, since it uses less digits than its factorization.

1842575436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1243 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 1842575436 is about 42925.2307623384. The cubic root of 1842575436 is about 1225.9565897021.

The spelling of 1842575436 in words is "one billion, eight hundred forty-two million, five hundred seventy-five thousand, four hundred thirty-six".