201024560 has 120 divisors (see below), whose sum is σ = 541267440. Its totient is φ = 69189120.

The previous prime is 201024559. The next prime is 201024569. The reversal of 201024560 is 65420102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (201024569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183374 + ... + 184466.

It is an arithmetic number, because the mean of its divisors is an integer number (4510562).

Almost surely, 2^201024560 is an apocalyptic number.

201024560 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 201024560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270633720).

201024560 is an abundant number, since it is smaller than the sum of its proper divisors (340242880).

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

201024560 is a wasteful number, since it uses less digits than its factorization.

201024560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 201024560 is about 14178.3130167168. The cubic root of 201024560 is about 585.8004577897.

Adding to 201024560 its reverse (65420102), we get a palindrome (266444662).

The spelling of 201024560 in words is "two hundred one million, twenty-four thousand, five hundred sixty".