12735800 has 96 divisors (see below), whose sum is σ = 36961920. Its totient is φ = 3964800.

The previous prime is 12735787. The next prime is 12735841. The reversal of 12735800 is 853721.

It is a self number, because there is not a number n which added to its sum of digits gives 12735800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14987 + ... + 15813.

It is an arithmetic number, because the mean of its divisors is an integer number (385020).

Almost surely, 2^12735800 is an apocalyptic number.

12735800 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 12735800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480960).

12735800 is an abundant number, since it is smaller than the sum of its proper divisors (24226120).

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

12735800 is a wasteful number, since it uses less digits than its factorization.

12735800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 12735800 is about 3568.7252626113. The cubic root of 12735800 is about 233.5296760073.

The spelling of 12735800 in words is "twelve million, seven hundred thirty-five thousand, eight hundred".