199311920 has 40 divisors (see below), whose sum is σ = 465211296. Its totient is φ = 79413248.

The previous prime is 199311911. The next prime is 199311929. The reversal of 199311920 is 29113991.

It is an interprime number because it is at equal distance from previous prime (199311911) and next prime (199311929).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (199311929) 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 7 ways as a sum of consecutive naturals, for example, 16304 + ... + 25776.

Almost surely, 2^199311920 is an apocalyptic number.

199311920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199311920 is an abundant number, since it is smaller than the sum of its proper divisors (265899376).

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

199311920 is a wasteful number, since it uses less digits than its factorization.

199311920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9749 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 35.

The square root of 199311920 is about 14117.7873620479. The cubic root of 199311920 is about 584.1321243562.

The spelling of 199311920 in words is "one hundred ninety-nine million, three hundred eleven thousand, nine hundred twenty".