11681460 has 144 divisors (see below), whose sum is σ = 41373696. Its totient is φ = 2612736.

The previous prime is 11681459. The next prime is 11681489. The reversal of 11681460 is 6418611.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 91917 + ... + 92043.

Almost surely, 2^11681460 is an apocalyptic number.

11681460 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 11681460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20686848).

11681460 is an abundant number, since it is smaller than the sum of its proper divisors (29692236).

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

11681460 is a wasteful number, since it uses less digits than its factorization.

11681460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11681460 is about 3417.8150915461. The cubic root of 11681460 is about 226.8988921404.

It can be divided in two parts, 1168 and 1460, that added together give a triangular number (2628 = T₇₂).

The spelling of 11681460 in words is "eleven million, six hundred eighty-one thousand, four hundred sixty".