193360020 has 96 divisors (see below), whose sum is σ = 638754816. Its totient is φ = 42768000.

The previous prime is 193360009. The next prime is 193360049. The reversal of 193360020 is 20063391.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5595 + ... + 20445.

It is an arithmetic number, because the mean of its divisors is an integer number (6653696).

Almost surely, 2^193360020 is an apocalyptic number.

193360020 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 193360020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319377408).

193360020 is an abundant number, since it is smaller than the sum of its proper divisors (445394796).

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

193360020 is a wasteful number, since it uses less digits than its factorization.

193360020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 193360020 is about 13905.3953557603. The cubic root of 193360020 is about 578.2587691234.

The spelling of 193360020 in words is "one hundred ninety-three million, three hundred sixty thousand, twenty".