12406140 has 72 divisors (see below), whose sum is σ = 37957920. Its totient is φ = 3279744.

The previous prime is 12406139. The next prime is 12406151. The reversal of 12406140 is 4160421.

12406140 is a `hidden beast` number, since 12 + 40 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28041 + ... + 28479.

Almost surely, 2^12406140 is an apocalyptic number.

12406140 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 12406140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18978960).

12406140 is an abundant number, since it is smaller than the sum of its proper divisors (25551780).

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

12406140 is a wasteful number, since it uses less digits than its factorization.

12406140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12406140 is about 3522.2350858510. The cubic root of 12406140 is about 231.4971023122.

Adding to 12406140 its reverse (4160421), we get a palindrome (16566561).

The spelling of 12406140 in words is "twelve million, four hundred six thousand, one hundred forty".