1966334800 has 30 divisors (see below), whose sum is σ = 4724120318. Its totient is φ = 786533760.

The previous prime is 1966334779. The next prime is 1966334807. The reversal of 1966334800 is 84336691.

1966334800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7033104 + 1959301696 = 2652^2 + 44264^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966334807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2457519 + ... + 2458318.

Almost surely, 2^1966334800 is an apocalyptic number.

1966334800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1966334800 is an abundant number, since it is smaller than the sum of its proper divisors (2757785518).

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

1966334800 is a wasteful number, since it uses less digits than its factorization.

1966334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915855 (or 4915844 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 1966334800 is about 44343.3738003774. The cubic root of 1966334800 is about 1252.8117611238.

The spelling of 1966334800 in words is "one billion, nine hundred sixty-six million, three hundred thirty-four thousand, eight hundred".