285013120 has 128 divisors (see below), whose sum is σ = 786983040. Its totient is φ = 96681984.

The previous prime is 285013117. The next prime is 285013121. The reversal of 285013120 is 21310582.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 285013091 and 285013100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285013121) 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 15 ways as a sum of consecutive naturals, for example, 505959 + ... + 506521.

It is an arithmetic number, because the mean of its divisors is an integer number (6148305).

Almost surely, 2^285013120 is an apocalyptic number.

285013120 is a gapful number since it is divisible by the number (20) 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 285013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393491520).

285013120 is an abundant number, since it is smaller than the sum of its proper divisors (501969920).

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

285013120 is a wasteful number, since it uses less digits than its factorization.

285013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 285013120 is about 16882.3315925260. The cubic root of 285013120 is about 658.0945346941.

The spelling of 285013120 in words is "two hundred eighty-five million, thirteen thousand, one hundred twenty".