201540 has 24 divisors (see below), whose sum is σ = 564480. Its totient is φ = 53728.

The previous prime is 201517. The next prime is 201547. The reversal of 201540 is 45102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (201547) by changing a digit.

201540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1620 + ... + 1739.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2²⁰¹⁵⁴⁰ is an apocalyptic number.

201540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201540 is an abundant number, since it is smaller than the sum of its proper divisors (362940).

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

201540 is a wasteful number, since it uses less digits than its factorization.

201540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 201540 is about 448.9320661303. The cubic root of 201540 is about 58.6300707255.

Adding to 201540 its reverse (45102), we get a palindrome (246642).

It can be divided in two parts, 201 and 540, that added together give a triangular number (741 = T₃₈).

The spelling of 201540 in words is "two hundred one thousand, five hundred forty".