866663424 has 264 divisors, whose sum is σ = 2789684352. Its totient is φ = 256942080.

The previous prime is 866663423. The next prime is 866663429. The reversal of 866663424 is 424366668.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×866663424² = 1502210980998807552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 866663424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (866663423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8414157 + ... + 8414259.

Almost surely, 2^866663424 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 866663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394842176).

866663424 is an abundant number, since it is smaller than the sum of its proper divisors (1923020928).

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

866663424 is a wasteful number, since it uses less digits than its factorization.

866663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 866663424 is about 29439.1478137530. The cubic root of 866663424 is about 953.4183129077.

The spelling of 866663424 in words is "eight hundred sixty-six million, six hundred sixty-three thousand, four hundred twenty-four".