8611872 has 48 divisors (see below), whose sum is σ = 22841280. Its totient is φ = 2840832.

The previous prime is 8611859. The next prime is 8611873. The reversal of 8611872 is 2781168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (8611873) 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 7 ways as a sum of consecutive naturals, for example, 10053 + ... + 10875.

It is an arithmetic number, because the mean of its divisors is an integer number (475860).

Almost surely, 2^8611872 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 8611872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420640).

8611872 is an abundant number, since it is smaller than the sum of its proper divisors (14229408).

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

8611872 is a wasteful number, since it uses less digits than its factorization.

8611872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 8611872 is about 2934.5991208341. The cubic root of 8611872 is about 204.9741946498.

The spelling of 8611872 in words is "eight million, six hundred eleven thousand, eight hundred seventy-two".