285185120 has 96 divisors (see below), whose sum is σ = 758854656. Its totient is φ = 100339200.

The previous prime is 285185113. The next prime is 285185123. The reversal of 285185120 is 21581582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285185123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51947 + ... + 57173.

It is an arithmetic number, because the mean of its divisors is an integer number (7904736).

Almost surely, 2^285185120 is an apocalyptic number.

285185120 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 285185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379427328).

285185120 is an abundant number, since it is smaller than the sum of its proper divisors (473669536).

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

285185120 is a wasteful number, since it uses less digits than its factorization.

285185120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 285185120 is about 16887.4249073090. The cubic root of 285185120 is about 658.2268905868.

The spelling of 285185120 in words is "two hundred eighty-five million, one hundred eighty-five thousand, one hundred twenty".