11530080 has 192 divisors, whose sum is σ = 43001280. Its totient is φ = 2875392.

The previous prime is 11530069. The next prime is 11530091. The reversal of 11530080 is 8003511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11530069) and next prime (11530091).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73362 + ... + 73518.

It is an arithmetic number, because the mean of its divisors is an integer number (223965).

Almost surely, 2^11530080 is an apocalyptic number.

11530080 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 11530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21500640).

11530080 is an abundant number, since it is smaller than the sum of its proper divisors (31471200).

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

11530080 is a wasteful number, since it uses less digits than its factorization.

11530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

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

The square root of 11530080 is about 3395.5971492508. The cubic root of 11530080 is about 225.9145002500.

Adding to 11530080 its reverse (8003511), we get a palindrome (19533591).

The spelling of 11530080 in words is "eleven million, five hundred thirty thousand, eighty".