193393872 has 160 divisors (see below), whose sum is σ = 655196160. Its totient is φ = 53447040.

The previous prime is 193393807. The next prime is 193393883. The reversal of 193393872 is 278393391.

193393872 is a `hidden beast` number, since 193 + 393 + 8 + 72 = 666.

193393872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92713 + ... + 94775.

It is an arithmetic number, because the mean of its divisors is an integer number (4094976).

Almost surely, 2^193393872 is an apocalyptic number.

193393872 is a gapful number since it is divisible by the number (12) 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 193393872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327598080).

193393872 is an abundant number, since it is smaller than the sum of its proper divisors (461802288).

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

193393872 is a wasteful number, since it uses less digits than its factorization.

193393872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2106 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 193393872 is about 13906.6125278588. The cubic root of 193393872 is about 578.2925128684.

The spelling of 193393872 in words is "one hundred ninety-three million, three hundred ninety-three thousand, eight hundred seventy-two".