1966821460 has 48 divisors (see below), whose sum is σ = 4392556560. Its totient is φ = 737187840.

The previous prime is 1966821433. The next prime is 1966821473. The reversal of 1966821460 is 641286691.

It can be written as a sum of positive squares in 8 ways, for example, as 31877316 + 1934944144 = 5646^2 + 43988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65230 + ... + 90490.

It is an arithmetic number, because the mean of its divisors is an integer number (91511595).

Almost surely, 2^1966821460 is an apocalyptic number.

1966821460 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 1966821460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196278280).

1966821460 is an abundant number, since it is smaller than the sum of its proper divisors (2425735100).

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

1966821460 is a wasteful number, since it uses less digits than its factorization.

1966821460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25516 (or 25514 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 1966821460 is about 44348.8608647392. The cubic root of 1966821460 is about 1252.9151078987.

The spelling of 1966821460 in words is "one billion, nine hundred sixty-six million, eight hundred twenty-one thousand, four hundred sixty".