199260672 has 160 divisors (see below), whose sum is σ = 606336192. Its totient is φ = 57606144.

The previous prime is 199260637. The next prime is 199260679. The reversal of 199260672 is 276062991.

It is not an unprimeable number, because it can be changed into a prime (199260679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339163 + ... + 339749.

Almost surely, 2^199260672 is an apocalyptic number.

199260672 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 199260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303168096).

199260672 is an abundant number, since it is smaller than the sum of its proper divisors (407075520).

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

199260672 is a wasteful number, since it uses less digits than its factorization.

199260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 199260672 is about 14115.9722300662. The cubic root of 199260672 is about 584.0820551494.

The spelling of 199260672 in words is "one hundred ninety-nine million, two hundred sixty thousand, six hundred seventy-two".