8881664 has 80 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 3778560.

The previous prime is 8881651. The next prime is 8881681. The reversal of 8881664 is 4661888.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106967 + ... + 107049.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^8881664 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 8881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

8881664 is an abundant number, since it is smaller than the sum of its proper divisors (11742016).

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

8881664 is a wasteful number, since it uses less digits than its factorization.

8881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 8881664 is about 2980.2120729908. The cubic root of 8881664 is about 207.0926949936.

It can be divided in two parts, 888 and 1664, that added together give a palindrome (2552).

The spelling of 8881664 in words is "eight million, eight hundred eighty-one thousand, six hundred sixty-four".