1983224736 has 120 divisors (see below), whose sum is σ = 5898829860. Its totient is φ = 653571072.

The previous prime is 1983224729. The next prime is 1983224759. The reversal of 1983224736 is 6374223891.

It can be written as a sum of positive squares in 2 ways, for example, as 1976691600 + 6533136 = 44460^2 + 2556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1983224691 and 1983224700.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 226390 + ... + 234986.

Almost surely, 2^1983224736 is an apocalyptic number.

1983224736 is a gapful number since it is divisible by the number (16) 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 1983224736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949414930).

1983224736 is an abundant number, since it is smaller than the sum of its proper divisors (3915605124).

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

1983224736 is an equidigital number, since it uses as much as digits as its factorization.

1983224736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8708 (or 8691 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 1983224736 is about 44533.4114570173. The cubic root of 1983224736 is about 1256.3885703237.

The spelling of 1983224736 in words is "one billion, nine hundred eighty-three million, two hundred twenty-four thousand, seven hundred thirty-six".