86506641 has 12 divisors (see below), whose sum is σ = 134566068. Its totient is φ = 53234784.

The previous prime is 86506633. The next prime is 86506663. The reversal of 86506641 is 14660568.

86506641 is a `hidden beast` number, since 8 + 6 + 5 + 0 + 6 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 72846225 = 3696^2 + 8535^2 .

It is not a de Polignac number, because 86506641 - 2³ = 86506633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86506596 and 86506605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86506621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369570 + ... + 369803.

It is an arithmetic number, because the mean of its divisors is an integer number (11213839).

Almost surely, 2^86506641 is an apocalyptic number.

It is an amenable number.

86506641 is a deficient number, since it is larger than the sum of its proper divisors (48059427).

86506641 is a wasteful number, since it uses less digits than its factorization.

86506641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739392 (or 739389 counting only the distinct ones).

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

The square root of 86506641 is about 9300.8946343887. The cubic root of 86506641 is about 442.2655887620.

The spelling of 86506641 in words is "eighty-six million, five hundred six thousand, six hundred forty-one".