285925680 has 160 divisors (see below), whose sum is σ = 1036838400. Its totient is φ = 72223488.

The previous prime is 285925657. The next prime is 285925681. The reversal of 285925680 is 86529582.

285925680 is a `hidden beast` number, since 2 + 8 + 592 + 56 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (285925681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37557 + ... + 44523.

It is an arithmetic number, because the mean of its divisors is an integer number (6480240).

Almost surely, 2^285925680 is an apocalyptic number.

285925680 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 285925680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518419200).

285925680 is an abundant number, since it is smaller than the sum of its proper divisors (750912720).

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

285925680 is a wasteful number, since it uses less digits than its factorization.

285925680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 285925680 is about 16909.3370656570. The cubic root of 285925680 is about 658.7961526114.

The spelling of 285925680 in words is "two hundred eighty-five million, nine hundred twenty-five thousand, six hundred eighty".