193942944 has 192 divisors, whose sum is σ = 629959680. Its totient is φ = 57646080.

The previous prime is 193942939. The next prime is 193942963. The reversal of 193942944 is 449249391.

193942944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×193942944² = 75227731054774272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 193942944.

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, 347914 + ... + 348470.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^193942944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193942944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

193942944 is an abundant number, since it is smaller than the sum of its proper divisors (436016736).

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

193942944 is a wasteful number, since it uses less digits than its factorization.

193942944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 606 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 193942944 is about 13926.3399355322. The cubic root of 193942944 is about 578.8392799367.

The spelling of 193942944 in words is "one hundred ninety-three million, nine hundred forty-two thousand, nine hundred forty-four".