193680720 has 220 divisors, whose sum is σ = 691932276. Its totient is φ = 50388480.

The previous prime is 193680703. The next prime is 193680727. The reversal of 193680720 is 27086391.

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 159668496 = 5832^2 + 12636^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193680727) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 4723900 + ... + 4723940.

Almost surely, 2^193680720 is an apocalyptic number.

193680720 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 193680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345966138).

193680720 is an abundant number, since it is smaller than the sum of its proper divisors (498251556).

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

193680720 is an frugal number, since it uses more digits than its factorization.

193680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 193680720 is about 13916.9220735046. The cubic root of 193680720 is about 578.5782856330.

The spelling of 193680720 in words is "one hundred ninety-three million, six hundred eighty thousand, seven hundred twenty".