202668672 has 64 divisors (see below), whose sum is σ = 542354400. Its totient is φ = 67052544.

The previous prime is 202668667. The next prime is 202668673. The reversal of 202668672 is 276866202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×202668672² = 82149181220487168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202668672.

It is not an unprimeable number, because it can be changed into a prime (202668673) 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, 51478 + ... + 55274.

Almost surely, 2^202668672 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 202668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271177200).

202668672 is an abundant number, since it is smaller than the sum of its proper divisors (339685728).

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

202668672 is a wasteful number, since it uses less digits than its factorization.

202668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 202668672 is about 14236.1747671206. The cubic root of 202668672 is about 587.3931450148.

The spelling of 202668672 in words is "two hundred two million, six hundred sixty-eight thousand, six hundred seventy-two".