866995200 has 396 divisors, whose sum is σ = 3207370608. Its totient is φ = 223641600.

The previous prime is 866995193. The next prime is 866995237. The reversal of 866995200 is 2599668.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12211165 + ... + 12211235.

Almost surely, 2^866995200 is an apocalyptic number.

866995200 is a gapful number since it is divisible by the number (80) 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 866995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603685304).

866995200 is an abundant number, since it is smaller than the sum of its proper divisors (2340375408).

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

866995200 is a wasteful number, since it uses less digits than its factorization.

866995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 866995200 is about 29444.7822202848. The cubic root of 866995200 is about 953.5399598852.

The spelling of 866995200 in words is "eight hundred sixty-six million, nine hundred ninety-five thousand, two hundred".