12167640 has 96 divisors (see below), whose sum is σ = 40173120. Its totient is φ = 3193344.

The previous prime is 12167599. The next prime is 12167641. The reversal of 12167640 is 4676121.

12167640 is a `hidden beast` number, since 1 + 2 + 16 + 7 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12167641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26049 + ... + 26511.

It is an arithmetic number, because the mean of its divisors is an integer number (418470).

Almost surely, 2^12167640 is an apocalyptic number.

12167640 is a gapful number since it is divisible by the number (10) 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 12167640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20086560).

12167640 is an abundant number, since it is smaller than the sum of its proper divisors (28005480).

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

12167640 is a wasteful number, since it uses less digits than its factorization.

12167640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12167640 is about 3488.2144429493. The cubic root of 12167640 is about 230.0040326955.

The spelling of 12167640 in words is "twelve million, one hundred sixty-seven thousand, six hundred forty".