1966884920 has 128 divisors (see below), whose sum is σ = 5942039040. Its totient is φ = 565885440.

The previous prime is 1966884911. The next prime is 1966884929. The reversal of 1966884920 is 294886691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1966884911) and next prime (1966884929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966884929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15479 + ... + 64601.

It is an arithmetic number, because the mean of its divisors is an integer number (46422180).

Almost surely, 2^1966884920 is an apocalyptic number.

1966884920 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 1966884920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971019520).

1966884920 is an abundant number, since it is smaller than the sum of its proper divisors (3975154120).

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

1966884920 is a wasteful number, since it uses less digits than its factorization.

1966884920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49165 (or 49161 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The square root of 1966884920 is about 44349.5763226663. The cubic root of 1966884920 is about 1252.9285829631.

The spelling of 1966884920 in words is "one billion, nine hundred sixty-six million, eight hundred eighty-four thousand, nine hundred twenty".