10989072 has 90 divisors (see below), whose sum is σ = 33056478. Its totient is φ = 3396096.

The previous prime is 10989059. The next prime is 10989079. The reversal of 10989072 is 27098901.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10342656 + 646416 = 3216^2 + 804^2 .

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 (10989079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 163983 + ... + 164049.

Almost surely, 2^10989072 is an apocalyptic number.

10989072 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 10989072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528239).

10989072 is an abundant number, since it is smaller than the sum of its proper divisors (22067406).

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

10989072 is a wasteful number, since it uses less digits than its factorization.

10989072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10989072 is about 3314.9769229966. The cubic root of 10989072 is about 222.3243372173.

The spelling of 10989072 in words is "ten million, nine hundred eighty-nine thousand, seventy-two".