10889208 has 64 divisors (see below), whose sum is σ = 33004800. Its totient is φ = 3299040.

The previous prime is 10889201. The next prime is 10889213. The reversal of 10889208 is 80298801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10889201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (515700).

Almost surely, 2^10889208 is an apocalyptic number.

10889208 is a gapful number since it is divisible by the number (18) 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 10889208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502400).

10889208 is an abundant number, since it is smaller than the sum of its proper divisors (22115592).

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

10889208 is a wasteful number, since it uses less digits than its factorization.

10889208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 10889208 is about 3299.8799978181. The cubic root of 10889208 is about 221.6488238853.

It can be divided in two parts, 1088 and 9208, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 10889208 in words is "ten million, eight hundred eighty-nine thousand, two hundred eight".