193990080 has 112 divisors (see below), whose sum is σ = 618683040. Its totient is φ = 51499008.

The previous prime is 193990063. The next prime is 193990117. The reversal of 193990080 is 80099391.

It is a super-2 number, since 2×193990080² = 75264302276812800, which contains 22 as substring.

It is a congruent number.

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, 380866 + ... + 381374.

Almost surely, 2^193990080 is an apocalyptic number.

193990080 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 193990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309341520).

193990080 is an abundant number, since it is smaller than the sum of its proper divisors (424692960).

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

193990080 is a wasteful number, since it uses less digits than its factorization.

193990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 193990080 is about 13928.0321653850. The cubic root of 193990080 is about 578.8861699441.

The spelling of 193990080 in words is "one hundred ninety-three million, nine hundred ninety thousand, eighty".