11398160 has 80 divisors (see below), whose sum is σ = 29127600. Its totient is φ = 4143104.

The previous prime is 11398159. The next prime is 11398169. The reversal of 11398160 is 6189311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 784 + 11397376 = 28^2 + 3376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11398169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393026 + ... + 393054.

It is an arithmetic number, because the mean of its divisors is an integer number (364095).

Almost surely, 2^11398160 is an apocalyptic number.

11398160 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 11398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563800).

11398160 is an abundant number, since it is smaller than the sum of its proper divisors (17729440).

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

11398160 is an equidigital number, since it uses as much as digits as its factorization.

11398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 11398160 is about 3376.1161117473. The cubic root of 11398160 is about 225.0496022329.

The spelling of 11398160 in words is "eleven million, three hundred ninety-eight thousand, one hundred sixty".