1984120920 has 80 divisors (see below), whose sum is σ = 6668861760. Its totient is φ = 529098048.

The previous prime is 1984120903. The next prime is 1984120969. The reversal of 1984120920 is 290214891.

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

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 19 ways as a sum of consecutive naturals, for example, 302952 + ... + 309431.

It is an arithmetic number, because the mean of its divisors is an integer number (83360772).

Almost surely, 2^1984120920 is an apocalyptic number.

1984120920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1984120920 is an abundant number, since it is smaller than the sum of its proper divisors (4684740840).

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

1984120920 is a wasteful number, since it uses less digits than its factorization.

1984120920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612406 (or 612393 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1984120920 is about 44543.4722490288. The cubic root of 1984120920 is about 1256.5777883780.

The spelling of 1984120920 in words is "one billion, nine hundred eighty-four million, one hundred twenty thousand, nine hundred twenty".