193838980 has 48 divisors (see below), whose sum is σ = 421461936. Its totient is φ = 74833920.

The previous prime is 193838977. The next prime is 193838993. The reversal of 193838980 is 89838391.

It can be written as a sum of positive squares in 8 ways, for example, as 2238016 + 191600964 = 1496^2 + 13842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78322 + ... + 80758.

It is an arithmetic number, because the mean of its divisors is an integer number (8780457).

Almost surely, 2^193838980 is an apocalyptic number.

193838980 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 193838980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210730968).

193838980 is an abundant number, since it is smaller than the sum of its proper divisors (227622956).

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

193838980 is a wasteful number, since it uses less digits than its factorization.

193838980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The square root of 193838980 is about 13922.6067961427. The cubic root of 193838980 is about 578.7358316376.

The spelling of 193838980 in words is "one hundred ninety-three million, eight hundred thirty-eight thousand, nine hundred eighty".