200888064 has 216 divisors, whose sum is σ = 658454160. Its totient is φ = 58392576.

The previous prime is 200888053. The next prime is 200888071. The reversal of 200888064 is 460888002.

200888064 = 352² + 353² + ... + 864².

200888064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 568912 + ... + 569264.

Almost surely, 2^200888064 is an apocalyptic number.

200888064 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 200888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329227080).

200888064 is an abundant number, since it is smaller than the sum of its proper divisors (457566096).

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

200888064 is a wasteful number, since it uses less digits than its factorization.

200888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 200888064 is about 14173.4986506508. The cubic root of 200888064 is about 585.6678412848.

The spelling of 200888064 in words is "two hundred million, eight hundred eighty-eight thousand, sixty-four".