665968200 has 192 divisors, whose sum is σ = 2209680000. Its totient is φ = 165335040.

The previous prime is 665968189. The next prime is 665968201. The reversal of 665968200 is 2869566.

It is a super-2 number, since 2×665968200² = 887027286822480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (665968201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111501 + ... + 1112099.

It is an arithmetic number, because the mean of its divisors is an integer number (11508750).

Almost surely, 2^665968200 is an apocalyptic number.

665968200 is a gapful number since it is divisible by the number (60) 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 665968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104840000).

665968200 is an abundant number, since it is smaller than the sum of its proper divisors (1543711800).

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

665968200 is a wasteful number, since it uses less digits than its factorization.

665968200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 665968200 is about 25806.3596812879. The cubic root of 665968200 is about 873.2752747113.

The spelling of 665968200 in words is "six hundred sixty-five million, nine hundred sixty-eight thousand, two hundred".