11180448 has 36 divisors (see below), whose sum is σ = 31795218. Its totient is φ = 3726720.

The previous prime is 11180443. The next prime is 11180453. The reversal of 11180448 is 84408111.

It is an interprime number because it is at equal distance from previous prime (11180443) and next prime (11180453).

It can be written as a sum of positive squares in only one way, i.e., 9072144 + 2108304 = 3012^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11180443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19123 + ... + 19698.

Almost surely, 2^11180448 is an apocalyptic number.

11180448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11180448 is an abundant number, since it is smaller than the sum of its proper divisors (20614770).

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

11180448 is a wasteful number, since it uses less digits than its factorization.

11180448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38837 (or 38826 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 11180448 is about 3343.7176914327. The cubic root of 11180448 is about 223.6075184977.

Adding to 11180448 its reverse (84408111), we get a palindrome (95588559).

It can be divided in two parts, 11180 and 448, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 11180448 in words is "eleven million, one hundred eighty thousand, four hundred forty-eight".