11045160 has 160 divisors (see below), whose sum is σ = 42514560. Its totient is φ = 2519424.

The previous prime is 11045159. The next prime is 11045161. The reversal of 11045160 is 6154011.

11045160 = T₁₂₉ + T₁₃₀ + ... + T₄₀₈.

It is an interprime number because it is at equal distance from previous prime (11045159) and next prime (11045161).

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

It is not an unprimeable number, because it can be changed into a prime (11045161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22437 + ... + 22923.

It is an arithmetic number, because the mean of its divisors is an integer number (265716).

Almost surely, 2^11045160 is an apocalyptic number.

11045160 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 11045160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257280).

11045160 is an abundant number, since it is smaller than the sum of its proper divisors (31469400).

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

11045160 is a wasteful number, since it uses less digits than its factorization.

11045160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11045160 is about 3323.4259432098. The cubic root of 11045160 is about 222.7019418140.

Adding to 11045160 its reverse (6154011), we get a palindrome (17199171).

The spelling of 11045160 in words is "eleven million, forty-five thousand, one hundred sixty".