1901983968 has 144 divisors (see below), whose sum is σ = 5557144320. Its totient is φ = 616773888.

The previous prime is 1901983939. The next prime is 1901984047. The reversal of 1901983968 is 8693891091.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3072363 + ... + 3072981.

It is an arithmetic number, because the mean of its divisors is an integer number (38591280).

Almost surely, 2^1901983968 is an apocalyptic number.

1901983968 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 1901983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

1901983968 is an abundant number, since it is smaller than the sum of its proper divisors (3655160352).

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

1901983968 is a wasteful number, since it uses less digits than its factorization.

1901983968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 1901983968 is about 43611.7411713864. The cubic root of 1901983968 is about 1238.9932793207.

The spelling of 1901983968 in words is "one billion, nine hundred one million, nine hundred eighty-three thousand, nine hundred sixty-eight".