11168480 has 72 divisors (see below), whose sum is σ = 27655992. Its totient is φ = 4261376.

The previous prime is 11168471. The next prime is 11168497. The reversal of 11168480 is 8486111.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 134519 + ... + 134601.

It is an arithmetic number, because the mean of its divisors is an integer number (384111).

Almost surely, 2^11168480 is an apocalyptic number.

11168480 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 11168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827996).

11168480 is an abundant number, since it is smaller than the sum of its proper divisors (16487512).

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

11168480 is an equidigital number, since it uses as much as digits as its factorization.

11168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 11168480 is about 3341.9275874860. The cubic root of 11168480 is about 223.5277038596.

The spelling of 11168480 in words is "eleven million, one hundred sixty-eight thousand, four hundred eighty".