285166080 has 120 divisors (see below), whose sum is σ = 987690132. Its totient is φ = 76038144.

The previous prime is 285166073. The next prime is 285166081. The reversal of 285166080 is 80661582.

It is a happy number.

285166080 is a `hidden beast` number, since 2 + 8 + 516 + 60 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 261662976 + 23503104 = 16176^2 + 4848^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (285166081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16852 + ... + 29228.

Almost surely, 2^285166080 is an apocalyptic number.

285166080 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 285166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493845066).

285166080 is an abundant number, since it is smaller than the sum of its proper divisors (702524052).

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

285166080 is a wasteful number, since it uses less digits than its factorization.

285166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12406 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 285166080 is about 16886.8611648228. The cubic root of 285166080 is about 658.2122417172.

It can be divided in two parts, 28516 and 6080, that added together give a square (34596 = 186²).

The spelling of 285166080 in words is "two hundred eighty-five million, one hundred sixty-six thousand, eighty".