11164608 has 224 divisors, whose sum is σ = 40965120. Its totient is φ = 2903040.

The previous prime is 11164607. The next prime is 11164651. The reversal of 11164608 is 80646111.

11164608 is a `hidden beast` number, since 1 + 11 + 646 + 0 + 8 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11164607) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 157213 + ... + 157283.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^11164608 is an apocalyptic number.

11164608 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 11164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

11164608 is an abundant number, since it is smaller than the sum of its proper divisors (29800512).

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

11164608 is a wasteful number, since it uses less digits than its factorization.

11164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11164608 is about 3341.3482308793. The cubic root of 11164608 is about 223.5018692695.

The spelling of 11164608 in words is "eleven million, one hundred sixty-four thousand, six hundred eight".