12761892 has 144 divisors (see below), whose sum is σ = 39504192. Its totient is φ = 3421440.

The previous prime is 12761891. The next prime is 12761893. The reversal of 12761892 is 29816721.

It is an interprime number because it is at equal distance from previous prime (12761891) and next prime (12761893).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12761891) 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 47 ways as a sum of consecutive naturals, for example, 190443 + ... + 190509.

Almost surely, 2^12761892 is an apocalyptic number.

12761892 is a gapful number since it is divisible by the number (12) 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 12761892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752096).

12761892 is an abundant number, since it is smaller than the sum of its proper divisors (26742300).

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

12761892 is a wasteful number, since it uses less digits than its factorization.

12761892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 133 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12761892 is about 3572.3790392398. The cubic root of 12761892 is about 233.6890456562.

The spelling of 12761892 in words is "twelve million, seven hundred sixty-one thousand, eight hundred ninety-two".