193964064 has 192 divisors, whose sum is σ = 620524800. Its totient is φ = 51867648.

The previous prime is 193964063. The next prime is 193964077. The reversal of 193964064 is 460469391.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (193964063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720922 + ... + 721190.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2^193964064 is an apocalyptic number.

193964064 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 193964064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

193964064 is an abundant number, since it is smaller than the sum of its proper divisors (426560736).

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

193964064 is a wasteful number, since it uses less digits than its factorization.

193964064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 193964064 is about 13927.0981902190. The cubic root of 193964064 is about 578.8602906553.

The spelling of 193964064 in words is "one hundred ninety-three million, nine hundred sixty-four thousand, sixty-four".