1881813960 has 192 divisors, whose sum is σ = 6933326400. Its totient is φ = 438815232.

The previous prime is 1881813943. The next prime is 1881814001. The reversal of 1881813960 is 693181881.

1881813960 is a `hidden beast` number, since 1 + 88 + 181 + 396 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 78339 + ... + 99501.

It is an arithmetic number, because the mean of its divisors is an integer number (36111075).

Almost surely, 2^1881813960 is an apocalyptic number.

1881813960 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 1881813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466663200).

1881813960 is an abundant number, since it is smaller than the sum of its proper divisors (5051512440).

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

1881813960 is a wasteful number, since it uses less digits than its factorization.

1881813960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21212 (or 21205 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1881813960 is about 43379.8796678829. The cubic root of 1881813960 is about 1234.5979798089.

The spelling of 1881813960 in words is "one billion, eight hundred eighty-one million, eight hundred thirteen thousand, nine hundred sixty".