285092064 has 72 divisors (see below), whose sum is σ = 829620792. Its totient is φ = 92816640.

The previous prime is 285092039. The next prime is 285092099. The reversal of 285092064 is 460290582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 874 + ... + 23894.

It is an arithmetic number, because the mean of its divisors is an integer number (11522511).

Almost surely, 2^285092064 is an apocalyptic number.

285092064 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 285092064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414810396).

285092064 is an abundant number, since it is smaller than the sum of its proper divisors (544528728).

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

285092064 is a wasteful number, since it uses less digits than its factorization.

285092064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23080 (or 23069 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 285092064 is about 16884.6694963212. The cubic root of 285092064 is about 658.1552895803.

The spelling of 285092064 in words is "two hundred eighty-five million, ninety-two thousand, sixty-four".