866107872 has 144 divisors (see below), whose sum is σ = 2937392640. Its totient is φ = 236687616.

The previous prime is 866107871. The next prime is 866107873. The reversal of 866107872 is 278701668.

It is an interprime number because it is at equal distance from previous prime (866107871) and next prime (866107873).

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866107871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37029 + ... + 55707.

It is an arithmetic number, because the mean of its divisors is an integer number (20398560).

Almost surely, 2^866107872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468696320).

866107872 is an abundant number, since it is smaller than the sum of its proper divisors (2071284768).

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

866107872 is a wasteful number, since it uses less digits than its factorization.

866107872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18725 (or 18714 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 866107872 is about 29429.7107019420. The cubic root of 866107872 is about 953.2145480419.

The spelling of 866107872 in words is "eight hundred sixty-six million, one hundred seven thousand, eight hundred seventy-two".