11264064 has 168 divisors, whose sum is σ = 37429440. Its totient is φ = 2924544.

The previous prime is 11264051. The next prime is 11264069. The reversal of 11264064 is 46046211.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11264069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388402 + ... + 388430.

Almost surely, 2^11264064 is an apocalyptic number.

11264064 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 11264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18714720).

11264064 is an abundant number, since it is smaller than the sum of its proper divisors (26165376).

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

11264064 is a wasteful number, since it uses less digits than its factorization.

11264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 11264064 is about 3356.1978487568. The cubic root of 11264064 is about 224.1635710030.

The spelling of 11264064 in words is "eleven million, two hundred sixty-four thousand, sixty-four".