11079648 has 144 divisors (see below), whose sum is σ = 34909056. Its totient is φ = 3317760.

The previous prime is 11079623. The next prime is 11079659. The reversal of 11079648 is 84697011.

11079648 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 9 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 151740 + ... + 151812.

It is an arithmetic number, because the mean of its divisors is an integer number (242424).

Almost surely, 2^11079648 is an apocalyptic number.

11079648 is a gapful number since it is divisible by the number (18) 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 11079648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454528).

11079648 is an abundant number, since it is smaller than the sum of its proper divisors (23829408).

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

11079648 is a wasteful number, since it uses less digits than its factorization.

11079648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11079648 is about 3328.6105209231. The cubic root of 11079648 is about 222.9334931408.

The spelling of 11079648 in words is "eleven million, seventy-nine thousand, six hundred forty-eight".