202896 has 30 divisors (see below), whose sum is σ = 568230. Its totient is φ = 67584.

The previous prime is 202889. The next prime is 202907. The reversal of 202896 is 698202.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 90000 = 336^2 + 300^2 .

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 202896.

It is an unprimeable number.

202896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (18941).

2²⁰²⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

202896 is an abundant number, since it is smaller than the sum of its proper divisors (365334).

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

202896 is a wasteful number, since it uses less digits than its factorization.

202896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 202896 is about 450.4397850990. The cubic root of 202896 is about 58.7612683984.

It can be divided in two parts, 20 and 2896, that added together give a square (2916 = 54²).

The spelling of 202896 in words is "two hundred two thousand, eight hundred ninety-six".