193120704 has 168 divisors, whose sum is σ = 638421888. Its totient is φ = 54673920.

The previous prime is 193120691. The next prime is 193120721. The reversal of 193120704 is 407021391.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850639 + ... + 850865.

Almost surely, 2^193120704 is an apocalyptic number.

193120704 is a gapful number since it is divisible by the number (14) 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 193120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319210944).

193120704 is an abundant number, since it is smaller than the sum of its proper divisors (445301184).

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

193120704 is a wasteful number, since it uses less digits than its factorization.

193120704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 193120704 is about 13896.7875424502. The cubic root of 193120704 is about 578.0201060203.

The spelling of 193120704 in words is "one hundred ninety-three million, one hundred twenty thousand, seven hundred four".