11682561 has 8 divisors (see below), whose sum is σ = 16992864. Its totient is φ = 7080320.

The previous prime is 11682557. The next prime is 11682571. The reversal of 11682561 is 16528611.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11682561 - 2² = 11682557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11682521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176976 + ... + 177041.

It is an arithmetic number, because the mean of its divisors is an integer number (2124108).

Almost surely, 2^11682561 is an apocalyptic number.

11682561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11682561 is a deficient number, since it is larger than the sum of its proper divisors (5310303).

11682561 is a wasteful number, since it uses less digits than its factorization.

11682561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354031.

The product of its digits is 2880, while the sum is 30.

The square root of 11682561 is about 3417.9761555634. The cubic root of 11682561 is about 226.9060204683.

It can be divided in two parts, 116825 and 61, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 11682561 in words is "eleven million, six hundred eighty-two thousand, five hundred sixty-one".