1984534120 has 64 divisors (see below), whose sum is σ = 4565347920. Its totient is φ = 776116224.

The previous prime is 1984534087. The next prime is 1984534141. The reversal of 1984534120 is 214354891.

It can be written as a sum of positive squares in 8 ways, for example, as 873911844 + 1110622276 = 29562^2 + 33326^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1984534120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670564 + ... + 673516.

Almost surely, 2^1984534120 is an apocalyptic number.

1984534120 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 1984534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282673960).

1984534120 is an abundant number, since it is smaller than the sum of its proper divisors (2580813800).

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

1984534120 is a wasteful number, since it uses less digits than its factorization.

1984534120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1984534120 is about 44548.1101731600. The cubic root of 1984534120 is about 1256.6650112044.

The spelling of 1984534120 in words is "one billion, nine hundred eighty-four million, five hundred thirty-four thousand, one hundred twenty".