193801664 has 84 divisors (see below), whose sum is σ = 463006440. Its totient is φ = 80156160.

The previous prime is 193801637. The next prime is 193801669. The reversal of 193801664 is 466108391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193801669) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 89879 + ... + 92009.

Almost surely, 2^193801664 is an apocalyptic number.

193801664 is a gapful number since it is divisible by the number (14) 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 193801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231503220).

193801664 is an abundant number, since it is smaller than the sum of its proper divisors (269204776).

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

193801664 is a wasteful number, since it uses less digits than its factorization.

193801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 193801664 is about 13921.2666090410. The cubic root of 193801664 is about 578.6986917182.

The spelling of 193801664 in words is "one hundred ninety-three million, eight hundred one thousand, six hundred sixty-four".