8661888 has 96 divisors (see below), whose sum is σ = 25512240. Its totient is φ = 2820096.

The previous prime is 8661883. The next prime is 8661889. The reversal of 8661888 is 8881668.

It is a happy number.

8661888 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8661881) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84045 + ... + 84147.

Almost surely, 2^8661888 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 8661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756120).

8661888 is an abundant number, since it is smaller than the sum of its proper divisors (16850352).

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

8661888 is a wasteful number, since it uses less digits than its factorization.

8661888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 8661888 is about 2943.1085606889. The cubic root of 8661888 is about 205.3702450461.

The spelling of 8661888 in words is "eight million, six hundred sixty-one thousand, eight hundred eighty-eight".