11034720 has 144 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 2875392.

The previous prime is 11034719. The next prime is 11034721. The reversal of 11034720 is 2743011.

It is an interprime number because it is at equal distance from previous prime (11034719) and next prime (11034721).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 11034693 and 11034702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113712 + ... + 113808.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 2^11034720 is an apocalyptic number.

11034720 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 11034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

11034720 is an abundant number, since it is smaller than the sum of its proper divisors (27491040).

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

11034720 is a wasteful number, since it uses less digits than its factorization.

11034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11034720 is about 3321.8549035140. The cubic root of 11034720 is about 222.6317529651.

Adding to 11034720 its reverse (2743011), we get a palindrome (13777731).

The spelling of 11034720 in words is "eleven million, thirty-four thousand, seven hundred twenty".