12590640 has 200 divisors, whose sum is σ = 45912240. Its totient is φ = 3193344.

The previous prime is 12590639. The next prime is 12590647. The reversal of 12590640 is 4609521.

12590640 is a `hidden beast` number, since 12 + 5 + 9 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12590647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187887 + ... + 187953.

Almost surely, 2^12590640 is an apocalyptic number.

12590640 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 12590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22956120).

12590640 is an abundant number, since it is smaller than the sum of its proper divisors (33321600).

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

12590640 is a wasteful number, since it uses less digits than its factorization.

12590640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12590640 is about 3548.3291842781. The cubic root of 12590640 is about 232.6390427417.

The spelling of 12590640 in words is "twelve million, five hundred ninety thousand, six hundred forty".