9661872 has 80 divisors (see below), whose sum is σ = 28212480. Its totient is φ = 2822400.

The previous prime is 9661871. The next prime is 9661889. The reversal of 9661872 is 2781669.

9661872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9661872.

It is not an unprimeable number, because it can be changed into a prime (9661871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14997 + ... + 15627.

It is an arithmetic number, because the mean of its divisors is an integer number (352656).

Almost surely, 2^9661872 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 9661872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106240).

9661872 is an abundant number, since it is smaller than the sum of its proper divisors (18550608).

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

9661872 is a wasteful number, since it uses less digits than its factorization.

9661872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 676 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 9661872 is about 3108.3551920590. The cubic root of 9661872 is about 212.9873253936.

The spelling of 9661872 in words is "nine million, six hundred sixty-one thousand, eight hundred seventy-two".