8813664 has 72 divisors (see below), whose sum is σ = 25963560. Its totient is φ = 2908800.

The previous prime is 8813653. The next prime is 8813671. The reversal of 8813664 is 4663188.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

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 an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87214 + ... + 87314.

It is an arithmetic number, because the mean of its divisors is an integer number (360605).

Almost surely, 2^8813664 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 8813664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12981780).

8813664 is an abundant number, since it is smaller than the sum of its proper divisors (17149896).

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

8813664 is a wasteful number, since it uses less digits than its factorization.

8813664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 106 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8813664 is about 2968.7815682532. The cubic root of 8813664 is about 206.5628244651.

The spelling of 8813664 in words is "eight million, eight hundred thirteen thousand, six hundred sixty-four".