193896064 has 64 divisors (see below), whose sum is σ = 413589600. Its totient is φ = 90270720.

The previous prime is 193896037. The next prime is 193896089. The reversal of 193896064 is 460698391.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 147699 + ... + 149005.

Almost surely, 2^193896064 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 193896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206794800).

193896064 is an abundant number, since it is smaller than the sum of its proper divisors (219693536).

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

193896064 is a wasteful number, since it uses less digits than its factorization.

193896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 193896064 is about 13924.6566923569. The cubic root of 193896064 is about 578.7926370571.

The spelling of 193896064 in words is "one hundred ninety-three million, eight hundred ninety-six thousand, sixty-four".