12963540 has 48 divisors (see below), whose sum is σ = 37078272. Its totient is φ = 3382656.

The previous prime is 12963499. The next prime is 12963563. The reversal of 12963540 is 4536921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12963498 and 12963507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522 + ... + 5118.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 2^12963540 is an apocalyptic number.

12963540 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 12963540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539136).

12963540 is an abundant number, since it is smaller than the sum of its proper divisors (24114732).

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

12963540 is a wasteful number, since it uses less digits than its factorization.

12963540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 12963540 is about 3600.4916330968. The cubic root of 12963540 is about 234.9134433001.

The spelling of 12963540 in words is "twelve million, nine hundred sixty-three thousand, five hundred forty".