193665940 has 48 divisors (see below), whose sum is σ = 441261072. Its totient is φ = 70972416.

The previous prime is 193665931. The next prime is 193665943. The reversal of 193665940 is 49566391.

193665940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6906384 + 186759556 = 2628^2 + 13666^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193665943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32902 + ... + 38338.

It is an arithmetic number, because the mean of its divisors is an integer number (9192939).

Almost surely, 2^193665940 is an apocalyptic number.

193665940 is a gapful number since it is divisible by the number (10) 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 193665940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220630536).

193665940 is an abundant number, since it is smaller than the sum of its proper divisors (247595132).

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

193665940 is a wasteful number, since it uses less digits than its factorization.

193665940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 193665940 is about 13916.3910551551. The cubic root of 193665940 is about 578.5635679323.

It can be divided in two parts, 1936 and 65940, that added together give a palindrome (67876).

The spelling of 193665940 in words is "one hundred ninety-three million, six hundred sixty-five thousand, nine hundred forty".