10788960 has 288 divisors, whose sum is σ = 44271360. Its totient is φ = 2156544.

The previous prime is 10788959. The next prime is 10788971. The reversal of 10788960 is 6988701.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 567831 + ... + 567849.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

Almost surely, 2^10788960 is an apocalyptic number.

10788960 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 10788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680).

10788960 is an abundant number, since it is smaller than the sum of its proper divisors (33482400).

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

10788960 is a wasteful number, since it uses less digits than its factorization.

10788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 10788960 is about 3284.6552330496. The cubic root of 10788960 is about 220.9665462626.

The spelling of 10788960 in words is "ten million, seven hundred eighty-eight thousand, nine hundred sixty".