12882590 has 48 divisors (see below), whose sum is σ = 27480384. Its totient is φ = 4334400.

The previous prime is 12882587. The next prime is 12882593. The reversal of 12882590 is 9528821.

It is an interprime number because it is at equal distance from previous prime (12882587) and next prime (12882593).

It is a super-2 number, since 2×12882590² = 331922250216200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12882590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12882593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29675 + ... + 30105.

It is an arithmetic number, because the mean of its divisors is an integer number (572508).

Almost surely, 2^12882590 is an apocalyptic number.

12882590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12882590 is an abundant number, since it is smaller than the sum of its proper divisors (14597794).

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

12882590 is a wasteful number, since it uses less digits than its factorization.

12882590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 12882590 is about 3589.2325084898. The cubic root of 12882590 is about 234.4234546337.

The spelling of 12882590 in words is "twelve million, eight hundred eighty-two thousand, five hundred ninety".