202568 has 8 divisors (see below), whose sum is σ = 379830. Its totient is φ = 101280.

The previous prime is 202567. The next prime is 202577. The reversal of 202568 is 865202.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 145924 + 56644 = 382^2 + 238^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (202567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12653 + ... + 12668.

2²⁰²⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

202568 is a deficient number, since it is larger than the sum of its proper divisors (177262).

202568 is a wasteful number, since it uses less digits than its factorization.

202568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25327 (or 25323 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 202568 is about 450.0755492137. The cubic root of 202568 is about 58.7295869930.

It can be divided in two parts, 20 and 2568, that multiplied together give a triangular number (51360 = T₃₂₀).

The spelling of 202568 in words is "two hundred two thousand, five hundred sixty-eight".