193240320 has 432 divisors, whose sum is σ = 782933760. Its totient is φ = 40255488.

The previous prime is 193240301. The next prime is 193240349. The reversal of 193240320 is 23042391.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446041 + ... + 2446119.

Almost surely, 2^193240320 is an apocalyptic number.

193240320 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 193240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391466880).

193240320 is an abundant number, since it is smaller than the sum of its proper divisors (589693440).

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

193240320 is a wasteful number, since it uses less digits than its factorization.

193240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 193240320 is about 13901.0906046972. The cubic root of 193240320 is about 578.1394203172.

The spelling of 193240320 in words is "one hundred ninety-three million, two hundred forty thousand, three hundred twenty".