12761970 has 64 divisors (see below), whose sum is σ = 33796224. Its totient is φ = 3064320.

The previous prime is 12761921. The next prime is 12761971. The reversal of 12761970 is 7916721.

It is not an unprimeable number, because it can be changed into a prime (12761971) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16390 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (528066).

Almost surely, 2^12761970 is an apocalyptic number.

12761970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12761970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898112).

12761970 is an abundant number, since it is smaller than the sum of its proper divisors (21034254).

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

12761970 is a wasteful number, since it uses less digits than its factorization.

12761970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827.

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 12761970 is about 3572.3899563178. The cubic root of 12761970 is about 233.6895217536.

It can be divided in two parts, 12761 and 970, that added together give a palindrome (13731).

The spelling of 12761970 in words is "twelve million, seven hundred sixty-one thousand, nine hundred seventy".