1984954968 has 96 divisors (see below), whose sum is σ = 5440921200. Its totient is φ = 653702400.

The previous prime is 1984954913. The next prime is 1984954981. The reversal of 1984954968 is 8694594891.

1984954968 is a `hidden beast` number, since 1 + 9 + 84 + 9 + 549 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3668778 + ... + 3669318.

Almost surely, 2^1984954968 is an apocalyptic number.

1984954968 is a gapful number since it is divisible by the number (18) 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 1984954968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720460600).

1984954968 is an abundant number, since it is smaller than the sum of its proper divisors (3455966232).

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

1984954968 is a wasteful number, since it uses less digits than its factorization.

1984954968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1066 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The square root of 1984954968 is about 44552.8334452479. The cubic root of 1984954968 is about 1256.7538360107.

The spelling of 1984954968 in words is "one billion, nine hundred eighty-four million, nine hundred fifty-four thousand, nine hundred sixty-eight".