866730240 has 288 divisors, whose sum is σ = 3178828800. Its totient is φ = 223395840.

The previous prime is 866730223. The next prime is 866730259. The reversal of 866730240 is 42037668.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 866730195 and 866730204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070956 + ... + 1071764.

It is an arithmetic number, because the mean of its divisors is an integer number (11037600).

Almost surely, 2^866730240 is an apocalyptic number.

866730240 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 866730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589414400).

866730240 is an abundant number, since it is smaller than the sum of its proper divisors (2312098560).

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

866730240 is a wasteful number, since it uses less digits than its factorization.

866730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 866730240 is about 29440.2826073392. The cubic root of 866730240 is about 953.4428137536.

The spelling of 866730240 in words is "eight hundred sixty-six million, seven hundred thirty thousand, two hundred forty".