1963881920 has 224 divisors, whose sum is σ = 6279952896. Its totient is φ = 564940800.

The previous prime is 1963881901. The next prime is 1963881947. The reversal of 1963881920 is 291883691.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317255 + ... + 323385.

It is an arithmetic number, because the mean of its divisors is an integer number (28035504).

Almost surely, 2^1963881920 is an apocalyptic number.

1963881920 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 1963881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139976448).

1963881920 is an abundant number, since it is smaller than the sum of its proper divisors (4316070976).

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

1963881920 is a wasteful number, since it uses less digits than its factorization.

1963881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 1963881920 is about 44315.7073733456. The cubic root of 1963881920 is about 1252.2906095224.

The spelling of 1963881920 in words is "one billion, nine hundred sixty-three million, eight hundred eighty-one thousand, nine hundred twenty".