193797120 has 352 divisors, whose sum is σ = 716875776. Its totient is φ = 44236800.

The previous prime is 193797113. The next prime is 193797133. The reversal of 193797120 is 21797391.

It is a tau number, because it is divible by the number of its divisors (352).

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, 5237742 + ... + 5237778.

Almost surely, 2^193797120 is an apocalyptic number.

193797120 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 193797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358437888).

193797120 is an abundant number, since it is smaller than the sum of its proper divisors (523078656).

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

193797120 is a wasteful number, since it uses less digits than its factorization.

193797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 193797120 is about 13921.1034045438. The cubic root of 193797120 is about 578.6941688341.

The spelling of 193797120 in words is "one hundred ninety-three million, seven hundred ninety-seven thousand, one hundred twenty".