1820238966 has 240 divisors, whose sum is σ = 5283653760. Its totient is φ = 463760640.

The previous prime is 1820238949. The next prime is 1820238967. The reversal of 1820238966 is 6698320281.

1820238966 is a `hidden beast` number, since 1 + 8 + 202 + 389 + 66 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820238967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3198730 + ... + 3199298.

It is an arithmetic number, because the mean of its divisors is an integer number (22015224).

Almost surely, 2^1820238966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1820238966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641826880).

1820238966 is an abundant number, since it is smaller than the sum of its proper divisors (3463414794).

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

1820238966 is a wasteful number, since it uses less digits than its factorization.

1820238966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1820238966 is about 42664.2586481940. The cubic root of 1820238966 is about 1220.9825834074.

The spelling of 1820238966 in words is "one billion, eight hundred twenty million, two hundred thirty-eight thousand, nine hundred sixty-six".