193986816 has 72 divisors (see below), whose sum is σ = 519012480. Its totient is φ = 64321536.

The previous prime is 193986811. The next prime is 193986833. The reversal of 193986816 is 618689391.

It is not an unprimeable number, because it can be changed into a prime (193986811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175321 + ... + 176423.

Almost surely, 2^193986816 is an apocalyptic number.

193986816 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 193986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259506240).

193986816 is an abundant number, since it is smaller than the sum of its proper divisors (325025664).

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

193986816 is a wasteful number, since it uses less digits than its factorization.

193986816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1337 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 193986816 is about 13927.9149911248. The cubic root of 193986816 is about 578.8829232230.

The spelling of 193986816 in words is "one hundred ninety-three million, nine hundred eighty-six thousand, eight hundred sixteen".