193395840 has 128 divisors (see below), whose sum is σ = 672563520. Its totient is φ = 46878720.

The previous prime is 193395827. The next prime is 193395869. The reversal of 193395840 is 48593391.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 193395792 and 193395801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16542 + ... + 25698.

Almost surely, 2^193395840 is an apocalyptic number.

193395840 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 193395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336281760).

193395840 is an abundant number, since it is smaller than the sum of its proper divisors (479167680).

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

193395840 is a wasteful number, since it uses less digits than its factorization.

193395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9178 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 193395840 is about 13906.6832853848. The cubic root of 193395840 is about 578.2944744538.

The spelling of 193395840 in words is "one hundred ninety-three million, three hundred ninety-five thousand, eight hundred forty".