10789120 has 36 divisors (see below), whose sum is σ = 25846380. Its totient is φ = 4315136.

The previous prime is 10789081. The next prime is 10789187. The reversal of 10789120 is 2198701.

It can be written as a sum of positive squares in 2 ways, for example, as 2768896 + 8020224 = 1664^2 + 2832^2 .

It is a super-2 number, since 2×10789120² = 232810220748800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2935 + ... + 5494.

It is an arithmetic number, because the mean of its divisors is an integer number (717955).

Almost surely, 2^10789120 is an apocalyptic number.

10789120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10789120 is an abundant number, since it is smaller than the sum of its proper divisors (15057260).

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

10789120 is an frugal number, since it uses more digits than its factorization.

10789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 10789120 is about 3284.6795886357. The cubic root of 10789120 is about 220.9676385666.

The spelling of 10789120 in words is "ten million, seven hundred eighty-nine thousand, one hundred twenty".