85735584 has 240 divisors, whose sum is σ = 286868736. Its totient is φ = 24883200.

The previous prime is 85735579. The next prime is 85735589. The reversal of 85735584 is 48553758.

It is an interprime number because it is at equal distance from previous prime (85735579) and next prime (85735589).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85735589) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883824 + ... + 883920.

Almost surely, 2^85735584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85735584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143434368).

85735584 is an abundant number, since it is smaller than the sum of its proper divisors (201133152).

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

85735584 is a wasteful number, since it uses less digits than its factorization.

85735584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 85735584 is about 9259.3511651735. The cubic root of 85735584 is about 440.9476544839.

The spelling of 85735584 in words is "eighty-five million, seven hundred thirty-five thousand, five hundred eighty-four".