200749668 has 192 divisors, whose sum is σ = 612864000. Its totient is φ = 50803200.

The previous prime is 200749667. The next prime is 200749669. The reversal of 200749668 is 866947002.

It is an interprime number because it is at equal distance from previous prime (200749667) and next prime (200749669).

It is a super-2 number, since 2×200749668² = 80600858404220448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (200749663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1329393 + ... + 1329543.

It is an arithmetic number, because the mean of its divisors is an integer number (3192000).

Almost surely, 2^200749668 is an apocalyptic number.

200749668 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 200749668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306432000).

200749668 is an abundant number, since it is smaller than the sum of its proper divisors (412114332).

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

200749668 is a wasteful number, since it uses less digits than its factorization.

200749668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 200749668 is about 14168.6155992743. The cubic root of 200749668 is about 585.5333174355.

The spelling of 200749668 in words is "two hundred million, seven hundred forty-nine thousand, six hundred sixty-eight".