1966705920 has 216 divisors, whose sum is σ = 7057735776. Its totient is φ = 524371968.

The previous prime is 1966705913. The next prime is 1966705931. The reversal of 1966705920 is 295076691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

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 23 ways as a sum of consecutive naturals, for example, 307879 + ... + 314201.

Almost surely, 2^1966705920 is an apocalyptic number.

1966705920 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 1966705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528867888).

1966705920 is an abundant number, since it is smaller than the sum of its proper divisors (5091029856).

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

1966705920 is an frugal number, since it uses more digits than its factorization.

1966705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1966705920 is about 44347.5582191399. The cubic root of 1966705920 is about 1252.8905734490.

The spelling of 1966705920 in words is "one billion, nine hundred sixty-six million, seven hundred five thousand, nine hundred twenty".