12164064 has 48 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3685760.

The previous prime is 12164057. The next prime is 12164077. The reversal of 12164064 is 46046121.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4704 + ... + 6815.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 2^12164064 is an apocalyptic number.

It is an amenable number.

12164064 is an abundant number, since it is smaller than the sum of its proper divisors (22672416).

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

12164064 is a wasteful number, since it uses less digits than its factorization.

12164064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11543 (or 11535 counting only the distinct ones).

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

The square root of 12164064 is about 3487.7018221173. The cubic root of 12164064 is about 229.9814981966.

The spelling of 12164064 in words is "twelve million, one hundred sixty-four thousand, sixty-four".