193742064 has 320 divisors, whose sum is σ = 651386880. Its totient is φ = 54743040.

The previous prime is 193742051. The next prime is 193742071. The reversal of 193742064 is 460247391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5236254 + ... + 5236290.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 2^193742064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325693440).

193742064 is an abundant number, since it is smaller than the sum of its proper divisors (457644816).

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

193742064 is a wasteful number, since it uses less digits than its factorization.

193742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 193742064 is about 13919.1258346205. The cubic root of 193742064 is about 578.6393630596.

The spelling of 193742064 in words is "one hundred ninety-three million, seven hundred forty-two thousand, sixty-four".