1842561168 has 160 divisors (see below), whose sum is σ = 5656780800. Its totient is φ = 505655808.

The previous prime is 1842561143. The next prime is 1842561169. The reversal of 1842561168 is 8611652481.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1842561169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2562313 + ... + 2563031.

It is an arithmetic number, because the mean of its divisors is an integer number (35354880).

Almost surely, 2^1842561168 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 1842561168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828390400).

1842561168 is an abundant number, since it is smaller than the sum of its proper divisors (3814219632).

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

1842561168 is a wasteful number, since it uses less digits than its factorization.

1842561168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 1842561168 is about 42925.0645660551. The cubic root of 1842561168 is about 1225.9534252918.

The spelling of 1842561168 in words is "one billion, eight hundred forty-two million, five hundred sixty-one thousand, one hundred sixty-eight".