8663400 has 72 divisors (see below), whose sum is σ = 29100630. Its totient is φ = 2309760.

The previous prime is 8663357. The next prime is 8663401. The reversal of 8663400 is 43668.

It can be written as a sum of positive squares in 3 ways, for example, as 7322436 + 1340964 = 2706^2 + 1158^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (8663401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 607 + ... + 4206.

Almost surely, 2^8663400 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 8663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550315).

8663400 is an abundant number, since it is smaller than the sum of its proper divisors (20437230).

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

8663400 is a wasteful number, since it uses less digits than its factorization.

8663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8663400 is about 2943.3654207386. The cubic root of 8663400 is about 205.3821940094.

The spelling of 8663400 in words is "eight million, six hundred sixty-three thousand, four hundred".