8363664 has 45 divisors (see below), whose sum is σ = 23504169. Its totient is φ = 2776320.

The previous prime is 8363653. The next prime is 8363669. The reversal of 8363664 is 4663638.

The square root of 8363664 is 2892.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 2073600 = 2508^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (8363669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34584 + ... + 34824.

Almost surely, 2^8363664 is an apocalyptic number.

8363664 is the 2892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8363664

8363664 is an abundant number, since it is smaller than the sum of its proper divisors (15140505).

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

8363664 is a wasteful number, since it uses less digits than its factorization.

8363664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 246 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The cubic root of 8363664 is about 202.9857383592.

Multiplying 8363664 by its sum of digits (36), we get a square (301091904 = 17352²).

8363664 divided by its sum of digits (36) gives a square (232324 = 482²).

The spelling of 8363664 in words is "eight million, three hundred sixty-three thousand, six hundred sixty-four".