85784832 has 216 divisors, whose sum is σ = 294630336. Its totient is φ = 24385536.

The previous prime is 85784821. The next prime is 85784851. The reversal of 85784832 is 23848758.

85784832 is a `hidden beast` number, since 8 + 578 + 48 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435358 + ... + 435554.

Almost surely, 2^85784832 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 85784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147315168).

85784832 is an abundant number, since it is smaller than the sum of its proper divisors (208845504).

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

85784832 is an equidigital number, since it uses as much as digits as its factorization.

85784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 85784832 is about 9262.0101489903. The cubic root of 85784832 is about 441.0320676390.

The spelling of 85784832 in words is "eighty-five million, seven hundred eighty-four thousand, eight hundred thirty-two".