10889820 has 72 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 2870400.

The previous prime is 10889779. The next prime is 10889891. The reversal of 10889820 is 2898801.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17881 + ... + 18479.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 2^10889820 is an apocalyptic number.

10889820 is a gapful number since it is divisible by the number (10) 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 10889820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

10889820 is an abundant number, since it is smaller than the sum of its proper divisors (22525380).

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

10889820 is a wasteful number, since it uses less digits than its factorization.

10889820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 710 counting only the distinct ones).

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

The square root of 10889820 is about 3299.9727271600. The cubic root of 10889820 is about 221.6529762086.

The spelling of 10889820 in words is "ten million, eight hundred eighty-nine thousand, eight hundred twenty".