11479104 has 224 divisors, whose sum is σ = 42103040. Its totient is φ = 2985984.

The previous prime is 11479081. The next prime is 11479133. The reversal of 11479104 is 40197411.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157212 + ... + 157284.

It is an arithmetic number, because the mean of its divisors is an integer number (187960).

Almost surely, 2^11479104 is an apocalyptic number.

11479104 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 11479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051520).

11479104 is an abundant number, since it is smaller than the sum of its proper divisors (30623936).

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

11479104 is a wasteful number, since it uses less digits than its factorization.

11479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11479104 is about 3388.0826436201. The cubic root of 11479104 is about 225.5810758232.

The spelling of 11479104 in words is "eleven million, four hundred seventy-nine thousand, one hundred four".