293664096 has 216 divisors, whose sum is σ = 959563080. Its totient is φ = 87310080.

The previous prime is 293664089. The next prime is 293664097. The reversal of 293664096 is 690466392.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293664097) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5540806 + ... + 5540858.

Almost surely, 2^293664096 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 293664096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479781540).

293664096 is an abundant number, since it is smaller than the sum of its proper divisors (665898984).

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

293664096 is a wasteful number, since it uses less digits than its factorization.

293664096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 293664096 is about 17136.6302405111. The cubic root of 293664096 is about 664.6866415171.

The spelling of 293664096 in words is "two hundred ninety-three million, six hundred sixty-four thousand, ninety-six".