202640 has 40 divisors (see below), whose sum is σ = 502200. Its totient is φ = 75776.

The previous prime is 202639. The next prime is 202661. The reversal of 202640 is 46202.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 190096 = 112^2 + 436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2²⁰²⁶⁴⁰ is an apocalyptic number.

202640 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 202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251100).

202640 is an abundant number, since it is smaller than the sum of its proper divisors (299560).

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

202640 is a wasteful number, since it uses less digits than its factorization.

202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 202640 is about 450.1555286787. The cubic root of 202640 is about 58.7365443758.

Adding to 202640 its reverse (46202), we get a palindrome (248842).

The spelling of 202640 in words is "two hundred two thousand, six hundred forty".