866259072 has 384 divisors, whose sum is σ = 3093292800. Its totient is φ = 227082240.

The previous prime is 866259067. The next prime is 866259091. The reversal of 866259072 is 270952668.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9733204 + ... + 9733292.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 2^866259072 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 866259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546646400).

866259072 is an abundant number, since it is smaller than the sum of its proper divisors (2227033728).

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

866259072 is a wasteful number, since it uses less digits than its factorization.

866259072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 866259072 is about 29432.2794224301. The cubic root of 866259072 is about 953.2700136709.

The spelling of 866259072 in words is "eight hundred sixty-six million, two hundred fifty-nine thousand, seventy-two".