864006663 has 16 divisors (see below), whose sum is σ = 1241821280. Its totient is φ = 531183744.

The previous prime is 864006643. The next prime is 864006709. The reversal of 864006663 is 366600468.

It is not a de Polignac number, because 864006663 - 2¹⁴ = 863990279 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864006613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32493 + ... + 52761.

It is an arithmetic number, because the mean of its divisors is an integer number (77613830).

Almost surely, 2^864006663 is an apocalyptic number.

864006663 is a deficient number, since it is larger than the sum of its proper divisors (377814617).

864006663 is a wasteful number, since it uses less digits than its factorization.

864006663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21378.

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 864006663 is about 29393.9902531113. The cubic root of 864006663 is about 952.4430795203.

The spelling of 864006663 in words is "eight hundred sixty-four million, six thousand, six hundred sixty-three".