11864064 has 48 divisors (see below), whose sum is σ = 31646160. Its totient is φ = 3952640.

The previous prime is 11864059. The next prime is 11864071. The reversal of 11864064 is 46046811.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5179 + ... + 7109.

It is an arithmetic number, because the mean of its divisors is an integer number (659295).

Almost surely, 2^11864064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823080).

11864064 is an abundant number, since it is smaller than the sum of its proper divisors (19782096).

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

11864064 is an equidigital number, since it uses as much as digits as its factorization.

11864064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 11864064 is about 3444.4250608774. The cubic root of 11864064 is about 228.0750753074.

The spelling of 11864064 in words is "eleven million, eight hundred sixty-four thousand, sixty-four".