12761460 has 72 divisors (see below), whose sum is σ = 39975936. Its totient is φ = 3291840.

The previous prime is 12761459. The next prime is 12761461. The reversal of 12761460 is 6416721.

12761460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12761459) and next prime (12761461).

It is a super-2 number, since 2×12761460² = 325709722663200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12761461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4437 + ... + 6723.

Almost surely, 2^12761460 is an apocalyptic number.

12761460 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 12761460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987968).

12761460 is an abundant number, since it is smaller than the sum of its proper divisors (27214476).

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

12761460 is a wasteful number, since it uses less digits than its factorization.

12761460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12761460 is about 3572.3185748194. The cubic root of 12761460 is about 233.6864087743.

The spelling of 12761460 in words is "twelve million, seven hundred sixty-one thousand, four hundred sixty".