866653200 has 540 divisors, whose sum is σ = 3717167220. Its totient is φ = 186439680.

The previous prime is 866653189. The next prime is 866653201. The reversal of 866653200 is 2356668.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 7225344 + 859427856 = 2688^2 + 29316^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (866653201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 50979592 + ... + 50979608.

It is an arithmetic number, because the mean of its divisors is an integer number (6883643).

Almost surely, 2^866653200 is an apocalyptic number.

866653200 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 866653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858583610).

866653200 is an abundant number, since it is smaller than the sum of its proper divisors (2850514020).

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

866653200 is a wasteful number, since it uses less digits than its factorization.

866653200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 866653200 is about 29438.9741669101. The cubic root of 866653200 is about 953.4145637447.

The spelling of 866653200 in words is "eight hundred sixty-six million, six hundred fifty-three thousand, two hundred".