199664352 has 120 divisors (see below), whose sum is σ = 591483816. Its totient is φ = 66344832.

The previous prime is 199664323. The next prime is 199664359. The reversal of 199664352 is 253466991.

199664352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 199664298 and 199664307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199664359) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629698 + ... + 630014.

Almost surely, 2^199664352 is an apocalyptic number.

199664352 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 199664352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295741908).

199664352 is an abundant number, since it is smaller than the sum of its proper divisors (391819464).

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

199664352 is an frugal number, since it uses more digits than its factorization.

199664352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 322 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 199664352 is about 14130.2636918070. The cubic root of 199664352 is about 584.4762175595.

The spelling of 199664352 in words is "one hundred ninety-nine million, six hundred sixty-four thousand, three hundred fifty-two".