199631952 has 300 divisors, whose sum is σ = 677115516. Its totient is φ = 56401920.

The previous prime is 199631951. The next prime is 199631977. The reversal of 199631952 is 259136991.

It is a happy number.

199631952 is a `hidden beast` number, since 1 + 9 + 9 + 631 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6533136 + 193098816 = 2556^2 + 13896^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (131220) is a multiple of the sum of its prime factors (108).

It is a junction number, because it is equal to n+sod(n) for n = 199631898 and 199631907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199631951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4869052 + ... + 4869092.

Almost surely, 2^199631952 is an apocalyptic number.

199631952 is a gapful number since it is divisible by the number (12) 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 199631952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338557758).

199631952 is an abundant number, since it is smaller than the sum of its proper divisors (477483564).

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

199631952 is a wasteful number, since it uses less digits than its factorization.

199631952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 199631952 is about 14129.1171698730. The cubic root of 199631952 is about 584.4446010763. Note that the first 3 decimals are identical.

The spelling of 199631952 in words is "one hundred ninety-nine million, six hundred thirty-one thousand, nine hundred fifty-two".