199762056 has 72 divisors (see below), whose sum is σ = 585876330. Its totient is φ = 61461504.

The previous prime is 199762051. The next prime is 199762081. The reversal of 199762056 is 650267991.

It is a happy number.

199762056 is a `hidden beast` number, since 19 + 9 + 7 + 620 + 5 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 74545956 + 125216100 = 8634^2 + 11190^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (199762051) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3960 + ... + 20376.

Almost surely, 2^199762056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199762056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292938165).

199762056 is an abundant number, since it is smaller than the sum of its proper divisors (386114274).

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

199762056 is a wasteful number, since it uses less digits than its factorization.

199762056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16455 (or 16435 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 199762056 is about 14133.7205292874. The cubic root of 199762056 is about 584.5715381172.

The spelling of 199762056 in words is "one hundred ninety-nine million, seven hundred sixty-two thousand, fifty-six".