201285648 has 70 divisors (see below), whose sum is σ = 584752814. Its totient is φ = 67091328.

The previous prime is 201285647. The next prime is 201285649. The reversal of 201285648 is 846582102.

201285648 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 8 + 5 + 648 = 666.

201285648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201285647) and next prime (201285649).

It can be written as a sum of positive squares in only one way, i.e., 118984464 + 82301184 = 10908^2 + 9072^2 .

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 (201285641) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3036 + ... + 20292.

Almost surely, 2^201285648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201285648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292376407).

201285648 is an abundant number, since it is smaller than the sum of its proper divisors (383467166).

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

201285648 is an equidigital number, since it uses as much as digits as its factorization.

201285648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17283 (or 17262 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 201285648 is about 14187.5173303859. The cubic root of 201285648 is about 586.0539579975.

The spelling of 201285648 in words is "two hundred one million, two hundred eighty-five thousand, six hundred forty-eight".