11126160 has 200 divisors, whose sum is σ = 41321016. Its totient is φ = 2764800.

The previous prime is 11126147. The next prime is 11126173. The reversal of 11126160 is 6162111.

It is an interprime number because it is at equal distance from previous prime (11126147) and next prime (11126173).

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 5817744 = 2304^2 + 2412^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110110 + ... + 110210.

Almost surely, 2^11126160 is an apocalyptic number.

11126160 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 11126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20660508).

11126160 is an abundant number, since it is smaller than the sum of its proper divisors (30194856).

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

11126160 is a wasteful number, since it uses less digits than its factorization.

11126160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11126160 is about 3335.5899028508. The cubic root of 11126160 is about 223.2450134673.

Adding to 11126160 its reverse (6162111), we get a palindrome (17288271).

The spelling of 11126160 in words is "eleven million, one hundred twenty-six thousand, one hundred sixty".