11712064 has 56 divisors (see below), whose sum is σ = 28618688. Its totient is φ = 4631040.

The previous prime is 11712059. The next prime is 11712073. The reversal of 11712064 is 46021711.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4819 + ... + 6829.

It is an arithmetic number, because the mean of its divisors is an integer number (511048).

Almost surely, 2^11712064 is an apocalyptic number.

11712064 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 11712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309344).

11712064 is an abundant number, since it is smaller than the sum of its proper divisors (16906624).

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

11712064 is a wasteful number, since it uses less digits than its factorization.

11712064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 11712064 is about 3422.2892922721. The cubic root of 11712064 is about 227.0968684878.

Adding to 11712064 its reverse (46021711), we get a palindrome (57733775).

The spelling of 11712064 in words is "eleven million, seven hundred twelve thousand, sixty-four".