11508480 has 216 divisors, whose sum is σ = 42408912. Its totient is φ = 2985984.

The previous prime is 11508449. The next prime is 11508491. The reversal of 11508480 is 8480511.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×11508480² = 264890223820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311022 + ... + 311058.

Almost surely, 2^11508480 is an apocalyptic number.

11508480 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 11508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204456).

11508480 is an abundant number, since it is smaller than the sum of its proper divisors (30900432).

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

11508480 is an frugal number, since it uses more digits than its factorization.

11508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11508480 is about 3392.4150689442. The cubic root of 11508480 is about 225.7733389409.

Adding to 11508480 its reverse (8480511), we get a palindrome (19988991).

The spelling of 11508480 in words is "eleven million, five hundred eight thousand, four hundred eighty".