10986272 has 72 divisors (see below), whose sum is σ = 25084080. Its totient is φ = 4695680.

The previous prime is 10986271. The next prime is 10986277. The reversal of 10986272 is 27268901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10986271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186179 + ... + 186237.

It is an arithmetic number, because the mean of its divisors is an integer number (348390).

Almost surely, 2^10986272 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 10986272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542040).

10986272 is an abundant number, since it is smaller than the sum of its proper divisors (14097808).

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

10986272 is a wasteful number, since it uses less digits than its factorization.

10986272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 10986272 is about 3314.5545703759. The cubic root of 10986272 is about 222.3054529711.

The spelling of 10986272 in words is "ten million, nine hundred eighty-six thousand, two hundred seventy-two".