866456136 has 256 divisors, whose sum is σ = 3137702400. Its totient is φ = 214990848.

The previous prime is 866456117. The next prime is 866456179. The reversal of 866456136 is 631654668.

866456136 is a `hidden beast` number, since 8 + 66 + 456 + 136 = 666.

It is a super-2 number, since 2×866456136² = 1501492471224100992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 866456091 and 866456100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332856 + ... + 335448.

It is an arithmetic number, because the mean of its divisors is an integer number (12256650).

Almost surely, 2^866456136 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 866456136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568851200).

866456136 is an abundant number, since it is smaller than the sum of its proper divisors (2271246264).

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

866456136 is a wasteful number, since it uses less digits than its factorization.

866456136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2635 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 866456136 is about 29435.6269849990. The cubic root of 866456136 is about 953.3422941872.

The spelling of 866456136 in words is "eight hundred sixty-six million, four hundred fifty-six thousand, one hundred thirty-six".