202944 has 56 divisors (see below), whose sum is σ = 617728. Its totient is φ = 57600.

The previous prime is 202933. The next prime is 202949. The reversal of 202944 is 449202.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 202944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269 + ... + 1419.

2²⁰²⁹⁴⁴ is an apocalyptic number.

202944 is a gapful number since it is divisible by the number (24) 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 202944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308864).

202944 is an abundant number, since it is smaller than the sum of its proper divisors (414784).

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

202944 is a wasteful number, since it uses less digits than its factorization.

202944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 202944 is about 450.4930632096. The cubic root of 202944 is about 58.7659018370.

The spelling of 202944 in words is "two hundred two thousand, nine hundred forty-four".