1929984966 has 96 divisors (see below), whose sum is σ = 5173616448. Its totient is φ = 506338560.

The previous prime is 1929984941. The next prime is 1929984967. The reversal of 1929984966 is 6694899291.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1929984967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319696 + ... + 325676.

It is an arithmetic number, because the mean of its divisors is an integer number (53891838).

Almost surely, 2^1929984966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1929984966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586808224).

1929984966 is an abundant number, since it is smaller than the sum of its proper divisors (3243631482).

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

1929984966 is a wasteful number, since it uses less digits than its factorization.

1929984966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 6203 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The square root of 1929984966 is about 43931.5941663855. The cubic root of 1929984966 is about 1245.0438345238.

The spelling of 1929984966 in words is "one billion, nine hundred twenty-nine million, nine hundred eighty-four thousand, nine hundred sixty-six".