10985472 has 84 divisors (see below), whose sum is σ = 31946850. Its totient is φ = 3637248.

The previous prime is 10985441. The next prime is 10985479. The reversal of 10985472 is 27458901.

10985472 is a `hidden beast` number, since 109 + 8 + 547 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 331776 = 3264^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10985479) 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 5 ways as a sum of consecutive naturals, for example, 73654 + ... + 73802.

Almost surely, 2^10985472 is an apocalyptic number.

10985472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15973425).

10985472 is an abundant number, since it is smaller than the sum of its proper divisors (20961378).

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

10985472 is an equidigital number, since it uses as much as digits as its factorization.

10985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10985472 is about 3314.4338883134. The cubic root of 10985472 is about 222.3000568829.

The spelling of 10985472 in words is "ten million, nine hundred eighty-five thousand, four hundred seventy-two".