199412064 has 96 divisors (see below), whose sum is σ = 585900000. Its totient is φ = 65981952.

The previous prime is 199412053. The next prime is 199412071. The reversal of 199412064 is 460214991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127962 + ... + 129510.

It is an arithmetic number, because the mean of its divisors is an integer number (6103125).

Almost surely, 2^199412064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292950000).

199412064 is an abundant number, since it is smaller than the sum of its proper divisors (386487936).

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

199412064 is a wasteful number, since it uses less digits than its factorization.

199412064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 199412064 is about 14121.3336480660. Note that the first 3 decimals coincide. The cubic root of 199412064 is about 584.2299401030.

The spelling of 199412064 in words is "one hundred ninety-nine million, four hundred twelve thousand, sixty-four".