11180064 has 96 divisors (see below), whose sum is σ = 34062336. Its totient is φ = 3144960.

The previous prime is 11180063. The next prime is 11180077. The reversal of 11180064 is 46008111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 11180064.

It is not an unprimeable number, because it can be changed into a prime (11180063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85279 + ... + 85409.

It is an arithmetic number, because the mean of its divisors is an integer number (354816).

Almost surely, 2^11180064 is an apocalyptic number.

11180064 is a gapful number since it is divisible by the number (14) 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 11180064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031168).

11180064 is an abundant number, since it is smaller than the sum of its proper divisors (22882272).

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

11180064 is a wasteful number, since it uses less digits than its factorization.

11180064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11180064 is about 3343.6602698241. The cubic root of 11180064 is about 223.6049584849.

Adding to 11180064 its reverse (46008111), we get a palindrome (57188175).

The spelling of 11180064 in words is "eleven million, one hundred eighty thousand, sixty-four".