10089680 has 40 divisors (see below), whose sum is σ = 24273000. Its totient is φ = 3895808.

The previous prime is 10089679. The next prime is 10089683. The reversal of 10089680 is 8698001.

10089680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2704 + 10086976 = 52^2 + 3176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10089683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146 + ... + 4494.

It is an arithmetic number, because the mean of its divisors is an integer number (606825).

Almost surely, 2^10089680 is an apocalyptic number.

10089680 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 10089680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12136500).

10089680 is an abundant number, since it is smaller than the sum of its proper divisors (14183320).

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

10089680 is a wasteful number, since it uses less digits than its factorization.

10089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 10089680 is about 3176.4256641703. The cubic root of 10089680 is about 216.0855856541.

The spelling of 10089680 in words is "ten million, eighty-nine thousand, six hundred eighty".