12735880 has 32 divisors (see below), whose sum is σ = 28823040. Its totient is φ = 5064640.

The previous prime is 12735841. The next prime is 12735883. The reversal of 12735880 is 8853721.

It is not an unprimeable number, because it can be changed into a prime (12735883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6807 + ... + 8473.

It is an arithmetic number, because the mean of its divisors is an integer number (900720).

Almost surely, 2^12735880 is an apocalyptic number.

12735880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12735880 is an abundant number, since it is smaller than the sum of its proper divisors (16087160).

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

12735880 is a wasteful number, since it uses less digits than its factorization.

12735880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 12735880 is about 3568.7364710777. The cubic root of 12735880 is about 233.5301649789.

The spelling of 12735880 in words is "twelve million, seven hundred thirty-five thousand, eight hundred eighty".