199964808 has 64 divisors (see below), whose sum is σ = 556776000. Its totient is φ = 66496896.

The previous prime is 199964803. The next prime is 199964833. The reversal of 199964808 is 808469991.

199964808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×199964808³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (199964803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122091 + ... + 123717.

It is an arithmetic number, because the mean of its divisors is an integer number (8699625).

Almost surely, 2^199964808 is an apocalyptic number.

199964808 is a gapful number since it is divisible by the number (18) 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 199964808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278388000).

199964808 is an abundant number, since it is smaller than the sum of its proper divisors (356811192).

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

199964808 is a wasteful number, since it uses less digits than its factorization.

199964808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 199964808 is about 14140.8913439005. The cubic root of 199964808 is about 584.7692449531.

The spelling of 199964808 in words is "one hundred ninety-nine million, nine hundred sixty-four thousand, eight hundred eight".