202385664 has 216 divisors, whose sum is σ = 652874040. Its totient is φ = 59867136.

The previous prime is 202385609. The next prime is 202385681. The reversal of 202385664 is 466583202.

202385664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 518400 + 201867264 = 720^2 + 14208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868492 + ... + 868724.

It is an arithmetic number, because the mean of its divisors is an integer number (3022565).

Almost surely, 2^202385664 is an apocalyptic number.

202385664 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 202385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326437020).

202385664 is an abundant number, since it is smaller than the sum of its proper divisors (450488376).

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

202385664 is a wasteful number, since it uses less digits than its factorization.

202385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 202385664 is about 14226.2315459857. The cubic root of 202385664 is about 587.1196043046.

The spelling of 202385664 in words is "two hundred two million, three hundred eighty-five thousand, six hundred sixty-four".