12605040 has 240 divisors, whose sum is σ = 50371776. Its totient is φ = 2764800.

The previous prime is 12605039. The next prime is 12605051. The reversal of 12605040 is 4050621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 206610 + ... + 206670.

Almost surely, 2^12605040 is an apocalyptic number.

12605040 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 12605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25185888).

12605040 is an abundant number, since it is smaller than the sum of its proper divisors (37766736).

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

12605040 is a wasteful number, since it uses less digits than its factorization.

12605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12605040 is about 3550.3577284550. The cubic root of 12605040 is about 232.7276992328.

Adding to 12605040 its reverse (4050621), we get a palindrome (16655661).

It can be divided in two parts, 1260 and 5040, that multiplied together give a square (6350400 = 2520²).

The spelling of 12605040 in words is "twelve million, six hundred five thousand, forty".