85759641 has 40 divisors (see below), whose sum is σ = 144619200. Its totient is φ = 50168160.

The previous prime is 85759607. The next prime is 85759643. The reversal of 85759641 is 14695758.

85759641 is a `hidden beast` number, since 8 + 57 + 596 + 4 + 1 = 666.

It is not a de Polignac number, because 85759641 - 2¹⁸ = 85497497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85759643) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 24180 + ... + 27498.

It is an arithmetic number, because the mean of its divisors is an integer number (3615480).

Almost surely, 2^85759641 is an apocalyptic number.

85759641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

85759641 is a deficient number, since it is larger than the sum of its proper divisors (58859559).

85759641 is a wasteful number, since it uses less digits than its factorization.

85759641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3362 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 85759641 is about 9260.6501391641. The cubic root of 85759641 is about 440.9888932369.

The spelling of 85759641 in words is "eighty-five million, seven hundred fifty-nine thousand, six hundred forty-one".