1983093840 has 960 divisors, whose sum is σ = 9099417600. Its totient is φ = 389670912.

The previous prime is 1983093803. The next prime is 1983093881. The reversal of 1983093840 is 483903891.

It is a super-2 number, since 2×1983093840² = 7865322356491891200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33611731 + ... + 33611789.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^1983093840 is an apocalyptic number.

1983093840 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 1983093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549708800).

1983093840 is an abundant number, since it is smaller than the sum of its proper divisors (7116323760).

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

1983093840 is a wasteful number, since it uses less digits than its factorization.

1983093840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1983093840 is about 44531.9417946265. The cubic root of 1983093840 is about 1256.3609284982.

The spelling of 1983093840 in words is "one billion, nine hundred eighty-three million, ninety-three thousand, eight hundred forty".