12590280 has 96 divisors (see below), whose sum is σ = 41965560. Its totient is φ = 3271680.

The previous prime is 12590273. The next prime is 12590287. The reversal of 12590280 is 8209521.

It is an interprime number because it is at equal distance from previous prime (12590273) and next prime (12590287).

It can be written as a sum of positive squares in 4 ways, for example, as 3481956 + 9108324 = 1866^2 + 3018^2 .

It is not an unprimeable number, because it can be changed into a prime (12590287) 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, 14334 + ... + 15186.

Almost surely, 2^12590280 is an apocalyptic number.

12590280 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 12590280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20982780).

12590280 is an abundant number, since it is smaller than the sum of its proper divisors (29375280).

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

12590280 is a wasteful number, since it uses less digits than its factorization.

12590280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12590280 is about 3548.2784558149. The cubic root of 12590280 is about 232.6368254636.

The spelling of 12590280 in words is "twelve million, five hundred ninety thousand, two hundred eighty".