10799360 has 144 divisors (see below), whose sum is σ = 30905280. Its totient is φ = 3563520.

The previous prime is 10799357. The next prime is 10799363. The reversal of 10799360 is 6399701.

It is an interprime number because it is at equal distance from previous prime (10799357) and next prime (10799363).

It is a super-3 number, since 3×10799360³ (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10799360.

It is not an unprimeable number, because it can be changed into a prime (10799363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 183011 + ... + 183069.

It is an arithmetic number, because the mean of its divisors is an integer number (214620).

Almost surely, 2^10799360 is an apocalyptic number.

10799360 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 10799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452640).

10799360 is an abundant number, since it is smaller than the sum of its proper divisors (20105920).

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

10799360 is a wasteful number, since it uses less digits than its factorization.

10799360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 10799360 is about 3286.2379706893. The cubic root of 10799360 is about 221.0375235726.

The spelling of 10799360 in words is "ten million, seven hundred ninety-nine thousand, three hundred sixty".