199664496 has 120 divisors (see below), whose sum is σ = 577998720. Its totient is φ = 64310400.

The previous prime is 199664467. The next prime is 199664497. The reversal of 199664496 is 694466991.

199664496 is a `hidden beast` number, since 1 + 9 + 96 + 64 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199664497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603051 + ... + 603381.

It is an arithmetic number, because the mean of its divisors is an integer number (4816656).

Almost surely, 2^199664496 is an apocalyptic number.

199664496 is a gapful number since it is divisible by the number (16) 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 199664496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288999360).

199664496 is an abundant number, since it is smaller than the sum of its proper divisors (378334224).

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

199664496 is a wasteful number, since it uses less digits than its factorization.

199664496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 199664496 is about 14130.2687872524. The cubic root of 199664496 is about 584.4763580695.

The spelling of 199664496 in words is "one hundred ninety-nine million, six hundred sixty-four thousand, four hundred ninety-six".