1966467800 has 144 divisors (see below), whose sum is σ = 5245445520. Its totient is φ = 683795200.

The previous prime is 1966467799. The next prime is 1966467887. The reversal of 1966467800 is 87646691.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554834 + ... + 558366.

It is an arithmetic number, because the mean of its divisors is an integer number (36426705).

Almost surely, 2^1966467800 is an apocalyptic number.

1966467800 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 1966467800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622722760).

1966467800 is an abundant number, since it is smaller than the sum of its proper divisors (3278977720).

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

1966467800 is a wasteful number, since it uses less digits than its factorization.

1966467800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 1966467800 is about 44344.8734353815. The cubic root of 1966467800 is about 1252.8400066033.

The spelling of 1966467800 in words is "one billion, nine hundred sixty-six million, four hundred sixty-seven thousand, eight hundred".