11786460 has 144 divisors (see below), whose sum is σ = 40602240. Its totient is φ = 2540160.

The previous prime is 11786447. The next prime is 11786477. The reversal of 11786460 is 6468711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55755 + ... + 55965.

It is an arithmetic number, because the mean of its divisors is an integer number (281960).

Almost surely, 2^11786460 is an apocalyptic number.

11786460 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 11786460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301120).

11786460 is an abundant number, since it is smaller than the sum of its proper divisors (28815780).

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

11786460 is a wasteful number, since it uses less digits than its factorization.

11786460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 11786460 is about 3433.1414185844. The cubic root of 11786460 is about 227.5766999765.

It can be divided in two parts, 11786 and 460, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 11786460 in words is "eleven million, seven hundred eighty-six thousand, four hundred sixty".