12146640 has 160 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 2849280.

The previous prime is 12146639. The next prime is 12146647. The reversal of 12146640 is 4664121.

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 12146640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146647) 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 31 ways as a sum of consecutive naturals, for example, 113467 + ... + 113573.

Almost surely, 2^12146640 is an apocalyptic number.

12146640 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 12146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

12146640 is an abundant number, since it is smaller than the sum of its proper divisors (30279216).

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

12146640 is a wasteful number, since it uses less digits than its factorization.

12146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

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

The square root of 12146640 is about 3485.2030069997. The cubic root of 12146640 is about 229.8716359973.

The spelling of 12146640 in words is "twelve million, one hundred forty-six thousand, six hundred forty".