12345440 has 96 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 4492800.

The previous prime is 12345439. The next prime is 12345479. The reversal of 12345440 is 4454321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94175 + ... + 94305.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 2^12345440 is an apocalyptic number.

12345440 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 12345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

12345440 is an abundant number, since it is smaller than the sum of its proper divisors (19588000).

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

12345440 is a wasteful number, since it uses less digits than its factorization.

12345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 12345440 is about 3513.6078324139. The cubic root of 12345440 is about 231.1189332768.

Adding to 12345440 its reverse (4454321), we get a palindrome (16799761).

The spelling of 12345440 in words is "twelve million, three hundred forty-five thousand, four hundred forty".