11630080 has 160 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 3563520.

The previous prime is 11630051. The next prime is 11630117. The reversal of 11630080 is 8003611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197091 + ... + 197149.

It is an arithmetic number, because the mean of its divisors is an integer number (220968).

Almost surely, 2^11630080 is an apocalyptic number.

11630080 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 11630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

11630080 is an abundant number, since it is smaller than the sum of its proper divisors (23724800).

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

11630080 is an equidigital number, since it uses as much as digits as its factorization.

11630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11630080 is about 3410.2903102229. The cubic root of 11630080 is about 226.5657374567.

Adding to 11630080 its reverse (8003611), we get a palindrome (19633691).

The spelling of 11630080 in words is "eleven million, six hundred thirty thousand, eighty".