10889120 has 96 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 3773440.

The previous prime is 10889119. The next prime is 10889173. The reversal of 10889120 is 2198801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40346 + ... + 40614.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 2^10889120 is an apocalyptic number.

10889120 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 10889120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

10889120 is an abundant number, since it is smaller than the sum of its proper divisors (18504160).

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

10889120 is a wasteful number, since it uses less digits than its factorization.

10889120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 10889120 is about 3299.8666639730. The cubic root of 10889120 is about 221.6482268064.

The spelling of 10889120 in words is "ten million, eight hundred eighty-nine thousand, one hundred twenty".