12746900 has 36 divisors (see below), whose sum is σ = 28344540. Its totient is φ = 4972800.

The previous prime is 12746897. The next prime is 12746911. The reversal of 12746900 is 964721.

It can be written as a sum of positive squares in 6 ways, for example, as 4056196 + 8690704 = 2014^2 + 2948^2 .

It is a super-2 number, since 2×12746900² = 324966919220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2546 + ... + 5654.

Almost surely, 2^12746900 is an apocalyptic number.

12746900 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 12746900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14172270).

12746900 is an abundant number, since it is smaller than the sum of its proper divisors (15597640).

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

12746900 is a wasteful number, since it uses less digits than its factorization.

12746900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 12746900 is about 3570.2801010565. The cubic root of 12746900 is about 233.5975012634.

The spelling of 12746900 in words is "twelve million, seven hundred forty-six thousand, nine hundred".