12467840 has 192 divisors, whose sum is σ = 39070080. Its totient is φ = 3717120.

The previous prime is 12467837. The next prime is 12467843. The reversal of 12467840 is 4876421.

12467840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12467837) and next prime (12467843).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12467797 and 12467806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12467843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542069 + ... + 542091.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 2^12467840 is an apocalyptic number.

12467840 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 12467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040).

12467840 is an abundant number, since it is smaller than the sum of its proper divisors (26602240).

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

12467840 is a wasteful number, since it uses less digits than its factorization.

12467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 12467840 is about 3530.9828660020. The cubic root of 12467840 is about 231.8802394178.

The spelling of 12467840 in words is "twelve million, four hundred sixty-seven thousand, eight hundred forty".