202066128 has 90 divisors (see below), whose sum is σ = 621641202. Its totient is φ = 61226880.

The previous prime is 202066127. The next prime is 202066181. The reversal of 202066128 is 821660202.

202066128 is a `hidden beast` number, since 20 + 20 + 6 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195776064 + 6290064 = 13992^2 + 2508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202066127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11626 + ... + 23222.

Almost surely, 2^202066128 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 202066128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310820601).

202066128 is an abundant number, since it is smaller than the sum of its proper divisors (419575074).

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

202066128 is a wasteful number, since it uses less digits than its factorization.

202066128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11633 (or 11613 counting only the distinct ones).

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

The square root of 202066128 is about 14214.9965881107. The cubic root of 202066128 is about 586.8104508686.

The spelling of 202066128 in words is "two hundred two million, sixty-six thousand, one hundred twenty-eight".