202682016 has 144 divisors (see below), whose sum is σ = 597149280. Its totient is φ = 65180160.

The previous prime is 202681993. The next prime is 202682023. The reversal of 202682016 is 610286202.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1458075 + ... + 1458213.

It is an arithmetic number, because the mean of its divisors is an integer number (4146870).

Almost surely, 2^202682016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298574640).

202682016 is an abundant number, since it is smaller than the sum of its proper divisors (394467264).

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

202682016 is a wasteful number, since it uses less digits than its factorization.

202682016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 202682016 is about 14236.6434246279. The cubic root of 202682016 is about 587.4060363381.

The spelling of 202682016 in words is "two hundred two million, six hundred eighty-two thousand, sixteen".