1821934160 has 80 divisors (see below), whose sum is σ = 4340347200. Its totient is φ = 711011328.

The previous prime is 1821934157. The next prime is 1821934181. The reversal of 1821934160 is 614391281.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1821934160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654692 + ... + 657468.

It is an arithmetic number, because the mean of its divisors is an integer number (54254340).

Almost surely, 2^1821934160 is an apocalyptic number.

1821934160 is a gapful number since it is divisible by the number (10) 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 1821934160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170173600).

1821934160 is an abundant number, since it is smaller than the sum of its proper divisors (2518413040).

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

1821934160 is a wasteful number, since it uses less digits than its factorization.

1821934160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1821934160 is about 42684.1207007946. The cubic root of 1821934160 is about 1221.3615007149.

The spelling of 1821934160 in words is "one billion, eight hundred twenty-one million, nine hundred thirty-four thousand, one hundred sixty".