12164640 has 48 divisors (see below), whose sum is σ = 38320128. Its totient is φ = 3243776.

The previous prime is 12164629. The next prime is 12164653. The reversal of 12164640 is 4646121.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 12164640.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12192 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (798336).

Almost surely, 2^12164640 is an apocalyptic number.

12164640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12164640 is an abundant number, since it is smaller than the sum of its proper divisors (26155488).

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

12164640 is a wasteful number, since it uses less digits than its factorization.

12164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25361 (or 25353 counting only the distinct ones).

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

The square root of 12164640 is about 3487.7843970062. The cubic root of 12164640 is about 229.9851282130.

The spelling of 12164640 in words is "twelve million, one hundred sixty-four thousand, six hundred forty".