1983140640 has 432 divisors, whose sum is σ = 7607756520. Its totient is φ = 469647360.

The previous prime is 1983140639. The next prime is 1983140657. The reversal of 1983140640 is 460413891.

1983140640 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 1 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2178576 + 1980962064 = 1476^2 + 44508^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1983140595 and 1983140604.

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 71 ways as a sum of consecutive naturals, for example, 7057300 + ... + 7057580.

Almost surely, 2^1983140640 is an apocalyptic number.

1983140640 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 1983140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803878260).

1983140640 is an abundant number, since it is smaller than the sum of its proper divisors (5624615880).

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

1983140640 is a wasteful number, since it uses less digits than its factorization.

1983140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1983140640 is about 44532.4672570474. The cubic root of 1983140640 is about 1256.3708115788.

The spelling of 1983140640 in words is "one billion, nine hundred eighty-three million, one hundred forty thousand, six hundred forty".