202540 has 48 divisors (see below), whose sum is σ = 493920. Its totient is φ = 69120.

The previous prime is 202529. The next prime is 202549. The reversal of 202540 is 45202.

It is a happy number.

202540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 202540.

It is not an unprimeable number, because it can be changed into a prime (202549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4920 + ... + 4960.

It is an arithmetic number, because the mean of its divisors is an integer number (10290).

2²⁰²⁵⁴⁰ is an apocalyptic number.

202540 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 202540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246960).

202540 is an abundant number, since it is smaller than the sum of its proper divisors (291380).

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

202540 is a wasteful number, since it uses less digits than its factorization.

202540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 202540 is about 450.0444422499. The cubic root of 202540 is about 58.7268808989.

Adding to 202540 its reverse (45202), we get a palindrome (247742).

The spelling of 202540 in words is "two hundred two thousand, five hundred forty".