866391336 has 192 divisors, whose sum is σ = 2611526400. Its totient is φ = 265939200.

The previous prime is 866391319. The next prime is 866391353. The reversal of 866391336 is 633193668.

866391336 is a `hidden beast` number, since 8 + 6 + 639 + 1 + 3 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (866391319) and next prime (866391353).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 866391291 and 866391300.

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, 3196881 + ... + 3197151.

It is an arithmetic number, because the mean of its divisors is an integer number (13601700).

Almost surely, 2^866391336 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 866391336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305763200).

866391336 is an abundant number, since it is smaller than the sum of its proper divisors (1745135064).

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

866391336 is a wasteful number, since it uses less digits than its factorization.

866391336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 336 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 866391336 is about 29434.5262574413. The cubic root of 866391336 is about 953.3185275981.

It can be divided in two parts, 8663 and 91336, that added together give a palindrome (99999).

The spelling of 866391336 in words is "eight hundred sixty-six million, three hundred ninety-one thousand, three hundred thirty-six".