193008240 has 120 divisors (see below), whose sum is σ = 658024848. Its totient is φ = 50688000.

The previous prime is 193008229. The next prime is 193008247. The reversal of 193008240 is 42800391.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193008247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46240 + ... + 50240.

Almost surely, 2^193008240 is an apocalyptic number.

193008240 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 193008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329012424).

193008240 is an abundant number, since it is smaller than the sum of its proper divisors (465016608).

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

193008240 is a wasteful number, since it uses less digits than its factorization.

193008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 193008240 is about 13892.7405503738. The cubic root of 193008240 is about 577.9078807387.

The spelling of 193008240 in words is "one hundred ninety-three million, eight thousand, two hundred forty".