1821111936 has 128 divisors (see below), whose sum is σ = 5622566400. Its totient is φ = 511454208.

The previous prime is 1821111913. The next prime is 1821111979. The reversal of 1821111936 is 6391111281.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1821111897 and 1821111906.

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, 152851 + ... + 164333.

It is an arithmetic number, because the mean of its divisors is an integer number (43926300).

Almost surely, 2^1821111936 is an apocalyptic number.

1821111936 is a gapful number since it is divisible by the number (16) 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 1821111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811283200).

1821111936 is an abundant number, since it is smaller than the sum of its proper divisors (3801454464).

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

1821111936 is a wasteful number, since it uses less digits than its factorization.

1821111936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11566 (or 11554 counting only the distinct ones).

The product of its digits is 2592, while the sum is 33.

The square root of 1821111936 is about 42674.4881164379. The cubic root of 1821111936 is about 1221.1777429140.

The spelling of 1821111936 in words is "one billion, eight hundred twenty-one million, one hundred eleven thousand, nine hundred thirty-six".