193002320 has 80 divisors (see below), whose sum is σ = 517788288. Its totient is φ = 65533440.

The previous prime is 193002289. The next prime is 193002331. The reversal of 193002320 is 23200391.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 193002292 and 193002301.

It is a congruent number.

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, 58310 + ... + 61530.

Almost surely, 2^193002320 is an apocalyptic number.

193002320 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 193002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258894144).

193002320 is an abundant number, since it is smaller than the sum of its proper divisors (324785968).

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

193002320 is a wasteful number, since it uses less digits than its factorization.

193002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 193002320 is about 13892.5274878260. The cubic root of 193002320 is about 577.9019720970.

The spelling of 193002320 in words is "one hundred ninety-three million, two thousand, three hundred twenty".