10788160 has 28 divisors (see below), whose sum is σ = 25690068. Its totient is φ = 4315136.

The previous prime is 10788157. The next prime is 10788163. The reversal of 10788160 is 6188701.

It is an interprime number because it is at equal distance from previous prime (10788157) and next prime (10788163).

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 8202496 = 1608^2 + 2864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10788163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16537 + ... + 17176.

Almost surely, 2^10788160 is an apocalyptic number.

10788160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10788160 is an abundant number, since it is smaller than the sum of its proper divisors (14901908).

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

10788160 is an equidigital number, since it uses as much as digits as its factorization.

10788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33730 (or 33720 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 10788160 is about 3284.5334524099. The cubic root of 10788160 is about 220.9610845806.

The spelling of 10788160 in words is "ten million, seven hundred eighty-eight thousand, one hundred sixty".