285765120 has 240 divisors, whose sum is σ = 1008596160. Its totient is φ = 74760192.

The previous prime is 285765119. The next prime is 285765169. The reversal of 285765120 is 21567582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×285765120² = 163323407617228800, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1820082 + ... + 1820238.

It is an arithmetic number, because the mean of its divisors is an integer number (4202484).

Almost surely, 2^285765120 is an apocalyptic number.

285765120 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 285765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504298080).

285765120 is an abundant number, since it is smaller than the sum of its proper divisors (722831040).

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

285765120 is a wasteful number, since it uses less digits than its factorization.

285765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 285765120 is about 16904.5887261418. The cubic root of 285765120 is about 658.6728150646.

The spelling of 285765120 in words is "two hundred eighty-five million, seven hundred sixty-five thousand, one hundred twenty".