11385760 has 24 divisors (see below), whose sum is σ = 26899236. Its totient is φ = 4554240.

The previous prime is 11385749. The next prime is 11385791. The reversal of 11385760 is 6758311.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 15376 = 3372^2 + 124^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35421 + ... + 35740.

Almost surely, 2^11385760 is an apocalyptic number.

11385760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11385760 is an abundant number, since it is smaller than the sum of its proper divisors (15513476).

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

11385760 is an equidigital number, since it uses as much as digits as its factorization.

11385760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71176 (or 71168 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 11385760 is about 3374.2791822847. The cubic root of 11385760 is about 224.9679625166.

The spelling of 11385760 in words is "eleven million, three hundred eighty-five thousand, seven hundred sixty".