41686560 has 72 divisors (see below), whose sum is σ = 142260300. Its totient is φ = 11116032.

The previous prime is 41686559. The next prime is 41686571. The reversal of 41686560 is 6568614.

41686560 is a `hidden beast` number, since 4 + 16 + 86 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38489616 + 3196944 = 6204^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13035 + ... + 15914.

Almost surely, 2^41686560 is an apocalyptic number.

41686560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41686560 is an abundant number, since it is smaller than the sum of its proper divisors (100573740).

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

41686560 is a wasteful number, since it uses less digits than its factorization.

41686560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28970 (or 28959 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 41686560 is about 6456.5129907714. The cubic root of 41686560 is about 346.7358014648.

The spelling of 41686560 in words is "forty-one million, six hundred eighty-six thousand, five hundred sixty".