11045520 has 180 divisors, whose sum is σ = 40114620. Its totient is φ = 2720256.

The previous prime is 11045513. The next prime is 11045521. The reversal of 11045520 is 2554011.

11045520 is a `hidden beast` number, since 110 + 4 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 6170256 = 2208^2 + 2484^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 11045493 and 11045502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11045521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380866 + ... + 380894.

It is an arithmetic number, because the mean of its divisors is an integer number (222859).

Almost surely, 2^11045520 is an apocalyptic number.

11045520 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 11045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20057310).

11045520 is an abundant number, since it is smaller than the sum of its proper divisors (29069100).

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

11045520 is a wasteful number, since it uses less digits than its factorization.

11045520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 11045520 is about 3323.4801037467. The cubic root of 11045520 is about 222.7043613301.

Adding to 11045520 its reverse (2554011), we get a palindrome (13599531).

The spelling of 11045520 in words is "eleven million, forty-five thousand, five hundred twenty".