1842961152 has 144 divisors (see below), whose sum is σ = 5080828032. Its totient is φ = 592650240.

The previous prime is 1842961093. The next prime is 1842961171. The reversal of 1842961152 is 2511692481.

It is a self number, because there is not a number n which added to its sum of digits gives 1842961152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3368943 + ... + 3369489.

It is an arithmetic number, because the mean of its divisors is an integer number (35283528).

Almost surely, 2^1842961152 is an apocalyptic number.

1842961152 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 1842961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540414016).

1842961152 is an abundant number, since it is smaller than the sum of its proper divisors (3237866880).

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

1842961152 is a wasteful number, since it uses less digits than its factorization.

1842961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 1842961152 is about 42929.7234093116. The cubic root of 1842961152 is about 1226.0421290456.

The spelling of 1842961152 in words is "one billion, eight hundred forty-two million, nine hundred sixty-one thousand, one hundred fifty-two".