200348064 has 108 divisors (see below), whose sum is σ = 662805234. Its totient is φ = 57238272.

The previous prime is 200348033. The next prime is 200348069. The reversal of 200348064 is 460843002.

It can be written as a sum of positive squares in only one way, i.e., 110250000 + 90098064 = 10500^2 + 9492^2 .

It is not an unprimeable number, because it can be changed into a prime (200348069) 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, 7014 + ... + 21210.

Almost surely, 2^200348064 is an apocalyptic number.

200348064 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 200348064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331402617).

200348064 is an abundant number, since it is smaller than the sum of its proper divisors (462457170).

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

200348064 is a wasteful number, since it uses less digits than its factorization.

200348064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14227 (or 14209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 200348064 is about 14154.4361950591. The cubic root of 200348064 is about 585.1425994690.

The spelling of 200348064 in words is "two hundred million, three hundred forty-eight thousand, sixty-four".