200764368 has 180 divisors, whose sum is σ = 672131460. Its totient is φ = 55738368.

The previous prime is 200764363. The next prime is 200764379. The reversal of 200764368 is 863467002.

200764368 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 643 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 66389904 = 11592^2 + 8148^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200764363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260688 + ... + 261456.

Almost surely, 2^200764368 is an apocalyptic number.

200764368 is a gapful number since it is divisible by the number (28) 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 200764368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336065730).

200764368 is an abundant number, since it is smaller than the sum of its proper divisors (471367092).

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

200764368 is a wasteful number, since it uses less digits than its factorization.

200764368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 200764368 is about 14169.1343419420. The cubic root of 200764368 is about 585.5476090817.

The spelling of 200764368 in words is "two hundred million, seven hundred sixty-four thousand, three hundred sixty-eight".