200540160 has 228 divisors, whose sum is σ = 736098948. Its totient is φ = 50331648.

The previous prime is 200540159. The next prime is 200540161. The reversal of 200540160 is 61045002.

It is a happy number.

200540160 is a `hidden beast` number, since 200 + 5 + 401 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (200540159) and next prime (200540161).

It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 84934656 = 10752^2 + 9216^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200540161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11796472 + ... + 11796488.

Almost surely, 2^200540160 is an apocalyptic number.

200540160 is a gapful number since it is divisible by the number (20) 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 200540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368049474).

200540160 is an abundant number, since it is smaller than the sum of its proper divisors (535558788).

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

200540160 is an frugal number, since it uses more digits than its factorization.

200540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 200540160 is about 14161.2202864019. The cubic root of 200540160 is about 585.3295535213.

Adding to 200540160 its reverse (61045002), we get a palindrome (261585162).

The spelling of 200540160 in words is "two hundred million, five hundred forty thousand, one hundred sixty".