200713968 has 360 divisors, whose sum is σ = 748264608. Its totient is φ = 48881664.

The previous prime is 200713963. The next prime is 200713969. The reversal of 200713968 is 869317002.

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 (200713963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3787030 + ... + 3787082.

Almost surely, 2^200713968 is an apocalyptic number.

200713968 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 200713968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374132304).

200713968 is an abundant number, since it is smaller than the sum of its proper divisors (547550640).

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

200713968 is a wasteful number, since it uses less digits than its factorization.

200713968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 200713968 is about 14167.3557165760. The cubic root of 200713968 is about 585.4986062470.

The spelling of 200713968 in words is "two hundred million, seven hundred thirteen thousand, nine hundred sixty-eight".