1820155968 has 224 divisors, whose sum is σ = 5724875520. Its totient is φ = 565678080.

The previous prime is 1820155957. The next prime is 1820156021. The reversal of 1820155968 is 8695510281.

It is a happy number.

1820155968 is a `hidden beast` number, since 18 + 20 + 1 + 559 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

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, 1628946 + ... + 1630062.

It is an arithmetic number, because the mean of its divisors is an integer number (25557480).

Almost surely, 2^1820155968 is an apocalyptic number.

1820155968 is a gapful number since it is divisible by the number (18) 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 1820155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862437760).

1820155968 is an abundant number, since it is smaller than the sum of its proper divisors (3904719552).

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

1820155968 is a wasteful number, since it uses less digits than its factorization.

1820155968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1820155968 is about 42663.2859493968. The cubic root of 1820155968 is about 1220.9640252849.

The spelling of 1820155968 in words is "one billion, eight hundred twenty million, one hundred fifty-five thousand, nine hundred sixty-eight".