85359564 has 18 divisors (see below), whose sum is σ = 215770100. Its totient is φ = 28453176.

The previous prime is 85359563. The next prime is 85359569. The reversal of 85359564 is 46595358.

85359564 is a `hidden beast` number, since 8 + 53 + 595 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (85359563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1185514 + ... + 1185585.

Almost surely, 2^85359564 is an apocalyptic number.

It is an amenable number.

85359564 is an abundant number, since it is smaller than the sum of its proper divisors (130410536).

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

85359564 is a wasteful number, since it uses less digits than its factorization.

85359564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371109 (or 2371104 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 85359564 is about 9239.0239744250. The cubic root of 85359564 is about 440.3020721859.

The spelling of 85359564 in words is "eighty-five million, three hundred fifty-nine thousand, five hundred sixty-four".