85734784 has 32 divisors (see below), whose sum is σ = 172137240. Its totient is φ = 42531840.

The previous prime is 85734763. The next prime is 85734787. The reversal of 85734784 is 48743758.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85734787) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14212 + ... + 19324.

Almost surely, 2^85734784 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 85734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86068620).

85734784 is an abundant number, since it is smaller than the sum of its proper divisors (86402456).

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

85734784 is a wasteful number, since it uses less digits than its factorization.

85734784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5246 counting only the distinct ones).

The product of its digits is 752640, while the sum is 46.

The square root of 85734784 is about 9259.3079655015. The cubic root of 85734784 is about 440.9462829833.

The spelling of 85734784 in words is "eighty-five million, seven hundred thirty-four thousand, seven hundred eighty-four".