200192664 has 128 divisors (see below), whose sum is σ = 612864000. Its totient is φ = 53218944.

The previous prime is 200192653. The next prime is 200192669. The reversal of 200192664 is 466291002.

200192664 = T₁ + T₂ + ... + T₁₀₆₂.

200192664 is a nontrivial binomial coefficient, being equal to C(1064, 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200192669) by changing a digit.

It is the 1062-nd tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187797 + ... + 188859.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2^200192664 is an apocalyptic number.

200192664 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 200192664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306432000).

200192664 is an abundant number, since it is smaller than the sum of its proper divisors (412671336).

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

200192664 is a wasteful number, since it uses less digits than its factorization.

200192664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 200192664 is about 14148.9456851032. The cubic root of 200192664 is about 584.9912716939.

The spelling of 200192664 in words is "two hundred million, one hundred ninety-two thousand, six hundred sixty-four".