12883540 has 48 divisors (see below), whose sum is σ = 28400400. Its totient is φ = 4902912.

The previous prime is 12883537. The next prime is 12883543. The reversal of 12883540 is 4538821.

12883540 = 341² + 342² + ... + 427².

It is an interprime number because it is at equal distance from previous prime (12883537) and next prime (12883543).

It can be written as a sum of positive squares in 8 ways, for example, as 394384 + 12489156 = 628^2 + 3534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12883543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56146 + ... + 56374.

It is an arithmetic number, because the mean of its divisors is an integer number (591675).

It is a vampire number, since it can be written as 2813 ⋅ 4580 (with its own digits).

Almost surely, 2^12883540 is an apocalyptic number.

12883540 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 12883540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14200200).

12883540 is an abundant number, since it is smaller than the sum of its proper divisors (15516860).

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

12883540 is a wasteful number, since it uses less digits than its factorization.

12883540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 12883540 is about 3589.3648463203. The cubic root of 12883540 is about 234.4292168499.

The spelling of 12883540 in words is "twelve million, eight hundred eighty-three thousand, five hundred forty".