193738896 has 180 divisors, whose sum is σ = 619491600. Its totient is φ = 56339712.

The previous prime is 193738891. The next prime is 193738927. The reversal of 193738896 is 698837391.

It is not an unprimeable number, because it can be changed into a prime (193738891) 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 35 ways as a sum of consecutive naturals, for example, 462175 + ... + 462593.

It is an arithmetic number, because the mean of its divisors is an integer number (3441620).

Almost surely, 2^193738896 is an apocalyptic number.

193738896 is a gapful number since it is divisible by the number (16) 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 193738896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309745800).

193738896 is an abundant number, since it is smaller than the sum of its proper divisors (425752704).

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

193738896 is a wasteful number, since it uses less digits than its factorization.

193738896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 193738896 is about 13919.0120339053. The cubic root of 193738896 is about 578.6362091421.

The spelling of 193738896 in words is "one hundred ninety-three million, seven hundred thirty-eight thousand, eight hundred ninety-six".