10789920 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2806272.

The previous prime is 10789913. The next prime is 10789937. The reversal of 10789920 is 2998701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84897 + ... + 85023.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^10789920 is an apocalyptic number.

10789920 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 10789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

10789920 is an abundant number, since it is smaller than the sum of its proper divisors (26949600).

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

10789920 is a wasteful number, since it uses less digits than its factorization.

10789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

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

The square root of 10789920 is about 3284.8013638575. The cubic root of 10789920 is about 220.9730999247.

The spelling of 10789920 in words is "ten million, seven hundred eighty-nine thousand, nine hundred twenty".