1920993984 has 336 divisors, whose sum is σ = 6890560768. Its totient is φ = 498161664.

The previous prime is 1920993953. The next prime is 1920994001. The reversal of 1920993984 is 4893990291.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 1920993984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3511599 + ... + 3512145.

Almost surely, 2^1920993984 is an apocalyptic number.

1920993984 is a gapful number since it is divisible by the number (14) 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 1920993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445280384).

1920993984 is an abundant number, since it is smaller than the sum of its proper divisors (4969566784).

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

1920993984 is a wasteful number, since it uses less digits than its factorization.

1920993984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 1920993984 is about 43829.1453715447. The cubic root of 1920993984 is about 1243.1074472822.

The spelling of 1920993984 in words is "one billion, nine hundred twenty million, nine hundred ninety-three thousand, nine hundred eighty-four".