285734064 has 160 divisors (see below), whose sum is σ = 930940416. Its totient is φ = 73359360.

The previous prime is 285734041. The next prime is 285734069. The reversal of 285734064 is 460437582.

It is a happy number.

285734064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (285734069) 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 31 ways as a sum of consecutive naturals, for example, 358114 + ... + 358910.

Almost surely, 2^285734064 is an apocalyptic number.

285734064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285734064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465470208).

285734064 is an abundant number, since it is smaller than the sum of its proper divisors (645206352).

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

285734064 is a wasteful number, since it uses less digits than its factorization.

285734064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 285734064 is about 16903.6701340271. The cubic root of 285734064 is about 658.6489534121.

The spelling of 285734064 in words is "two hundred eighty-five million, seven hundred thirty-four thousand, sixty-four".