1983229920 has 504 divisors, whose sum is σ = 8195322744. Its totient is φ = 452003328.

The previous prime is 1983229903. The next prime is 1983229921. The reversal of 1983229920 is 299223891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983229921) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5715187 + ... + 5715533.

It is an arithmetic number, because the mean of its divisors is an integer number (16260561).

Almost surely, 2^1983229920 is an apocalyptic number.

1983229920 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 1983229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097661372).

1983229920 is an abundant number, since it is smaller than the sum of its proper divisors (6212092824).

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

1983229920 is an equidigital number, since it uses as much as digits as its factorization.

1983229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1983229920 is about 44533.4696604700. The cubic root of 1983229920 is about 1256.3896650245.

The spelling of 1983229920 in words is "one billion, nine hundred eighty-three million, two hundred twenty-nine thousand, nine hundred twenty".