193327680 has 224 divisors, whose sum is σ = 755806464. Its totient is φ = 40771584.

The previous prime is 193327663. The next prime is 193327681. The reversal of 193327680 is 86723391.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (193327681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86254 + ... + 88466.

It is an arithmetic number, because the mean of its divisors is an integer number (3374136).

Almost surely, 2^193327680 is an apocalyptic number.

193327680 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 193327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377903232).

193327680 is an abundant number, since it is smaller than the sum of its proper divisors (562478784).

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

193327680 is a wasteful number, since it uses less digits than its factorization.

193327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 193327680 is about 13904.2324491502. The cubic root of 193327680 is about 578.2265288646.

The spelling of 193327680 in words is "one hundred ninety-three million, three hundred twenty-seven thousand, six hundred eighty".