193866816 has 224 divisors, whose sum is σ = 630862848. Its totient is φ = 51701760.

The previous prime is 193866811. The next prime is 193866857. The reversal of 193866816 is 618668391.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (193866811) 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 31 ways as a sum of consecutive naturals, for example, 631335 + ... + 631641.

It is an arithmetic number, because the mean of its divisors is an integer number (2816352).

Almost surely, 2^193866816 is an apocalyptic number.

193866816 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 193866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315431424).

193866816 is an abundant number, since it is smaller than the sum of its proper divisors (436996032).

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

193866816 is a wasteful number, since it uses less digits than its factorization.

193866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 193866816 is about 13923.6064293702. The cubic root of 193866816 is about 578.7635331857.

The spelling of 193866816 in words is "one hundred ninety-three million, eight hundred sixty-six thousand, eight hundred sixteen".