12746500 has 96 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 4492800.

The previous prime is 12746483. The next prime is 12746509. The reversal of 12746500 is 564721.

It can be written as a sum of positive squares in 16 ways, for example, as 7214596 + 5531904 = 2686^2 + 2352^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12746509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240474 + ... + 240526.

It is an arithmetic number, because the mean of its divisors is an integer number (326781).

Almost surely, 2^12746500 is an apocalyptic number.

12746500 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 12746500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

12746500 is an abundant number, since it is smaller than the sum of its proper divisors (18624476).

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

12746500 is a wasteful number, since it uses less digits than its factorization.

12746500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 12746500 is about 3570.2240826032. The cubic root of 12746500 is about 233.5950577940.

The spelling of 12746500 in words is "twelve million, seven hundred forty-six thousand, five hundred".